{"text":"Question: Simplify (3*(2 + 1 + sqrt(972) + -4) + -4)**2.\nAnswer: -756*sqrt(3) + 8797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-63)\/(9 + -2) - -5. Calculate the remainder when 81 is divided by (-10)\/c*84\/(-35)*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 2724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77) - (sqrt(77) + -6*(sqrt(77) + (sqrt(77) - (1*sqrt(77) + sqrt(77)) - sqrt(77)))))\/sqrt(11) + -2.\nAnswer: -6*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4119150 is divided by 91533.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -1201*m**3 + 7*m**2 + 5*m - 7. Is h(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*s - 5*n - 12, -49 = -4*s + 5*n. Suppose -f + 2*f - s = 0. Suppose 174*v - 151*v = 322. Solve 0 = 5*l - 2*d + 20, -2*l + f - v = -3*d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/234 and -71\/117.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -825, -1651, -2477, -3303, -4129, -4955?\nAnswer: -5781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69029661 is divided by 131?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17054765 is divided by 225?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 137 and 46920582.\nAnswer: 46920582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 - 1. Suppose -8*k + d*k = 8. What is the second derivative of -176 + 176 + 10*j**4 - k*j wrt j?\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 132 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 - 3*y**2 + y. Let b be t(-3). Let n = b - -7. Suppose 4*x - 6 = 2*d, -2*x - x - 12 = n*d. Solve -5*h + 7 - 21 = -q, -5*h - 5*q + 10 = x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -212*n. Let o(z) = -64*z**2 + 190*z**2 - 63*z**2 - 61*z**2. Determine i(o(w)).\nAnswer: -424*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -79455, -79752, -80049, -80346?\n\"Answer: -297*i - 79158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7.5 + 4. Let g = n + 3. Let i be 1\/(3\/(6\/(-14))). Which is the nearest to 1?  (a) g  (b) 2\/5  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(11\/3)*w**11\/w*w)\/(w**0)**(9\/2) assuming w is positive.\nAnswer: w**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -63097 divided by 63097?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 PM and 2:41 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -36 + (0 + (-1 - -11) + 2 - 1)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 44\/5 of a meter?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-6)*-3 - -5. Let g(i) = -6*i + 1 + 33119*i**2 - 2 - 33118*i**2. Calculate g(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.33 - 16.\nAnswer: -15.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65799*h + 4 = 5*p + 65796*h, 4*h + 7 = 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 66, 135, 206, 279?\n\"Answer: g**2 + 66*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 16*x**3 + 4*x - 4. Let p be j(1). Calculate the greatest common factor of 296 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(2700) - (sqrt(2700)*-4 + sqrt(2700) + sqrt(2700))) + sqrt(27))*5)\/((sqrt(81)*2)\/sqrt(9) - sqrt(900)*2).\nAnswer: -155*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37, -74, -111, -148, -185?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-18)\/15)\/((-1)\/(-5)). Suppose 20 - 32 = 3*n. Let c = n - l. Solve c*z - 25 = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12.5 times 1.8\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -93 - -90. What is the third smallest value in 0, r, 163, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 divided by -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -9*g + 1. Let d(u) = -8*u + 3. Calculate -4*c(f) + 5*d(f).\nAnswer: -4*f + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 + 10. Suppose 0 = -2*j - p*k + 37, 2*k = 9 + 1. What is the least common multiple of 4 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -26*v - 1869. Give b(-46).\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, z: 1, c: 1, i: 1, j: 1}. What is prob of sequence zwjz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -79.718 + 80. Let r = 0.282 - t. Is r <= 423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -503*m + 94200 = 1381*m for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54 = -3574*k + 3583*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/15, 83, 227339, -0.3 in ascending order.\nAnswer: -0.3, -2\/15, 83, 227339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -4250 > 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29385.1*-3007.\nAnswer: 88360995.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9825.\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 77\/2980 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 + 24 + 3 = 19*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) 2\/27  (c) -11  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 701481 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = 4*l - 67. Let y = -9 + 5. What is the second biggest value in l, y, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 1714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*k - 57*k + 95 = 0. Let p = 18 - k. What is the tens digit of 559\/7 + p*6\/(-42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -769 = -w + 5*w + 3*d, 4*d = -3*w - 568. Let u = -197 - w. Is 31 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: 0.03015 times 67.5\nAnswer: 2.035125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*d + 0*d + 115*d**2 - 121*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -27*b**3*q**2 - 96*b**3*q + 24568*q**2 wrt b?\nAnswer: -81*b**2*q**2 - 288*b**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19 - -13. Let a = -2 - u. Suppose -98 = -a*f + 2*k, -k + 38 = f + 3*k. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 76 - (111 - 43) - (-24 - 0)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -123 and -107037.\nAnswer: 13165551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - 4*v = 21 - 65, -o + 6*v - 38 = 0 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 + 2. Suppose x*s = 3 + 7. Let b = 798 - 795. Solve s*u = 4*n - 21 + 9, -5*u = b*n - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99*j - 1113 = -106 - 17 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 4*q = -28 + 8, 0 = -r + 5*q - 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 - 8*y**2 + 3*y**2 - 16 + 33.\nAnswer: -5*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {i: 3, d: 6, f: 1, s: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -836, -1670, -2504?\n\"Answer: -834*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 1669*h - 5701*h + 2045*h + 2104*h + 2.\nAnswer: 117*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 7. Let j be c + (4 - 3 - 0). Let b be ((-72)\/(-3))\/(105\/(-40) - -3). What is the highest common divisor of j and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2709 and 5868513?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**10\/f*f*f)\/f**(1\/19)*(f*f\/(f*f*f**(-1))*f)**(10\/11) assuming f is positive.\nAnswer: f**(2668\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 28\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5881 + 8744. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**2 - 27*v - 55. Let w be o(30). Suppose w = -5*q + 430. List the prime factors of q.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2557*d**5 - d**3 - 10*d**2 - 1314*d + 61?\nAnswer: 51140*d**3 - 6*d - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 + 21725797.\nAnswer: 21725797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 616377257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 AM and 5:51 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 52854 and 960687?\nAnswer: 735886242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 - p**3 - 32*p**2 - 3*p**3 + 24*p**2 + 13*p. Let x(k) = -11*k**3 - 16*k**2 + 26*k + 1. Let j(y) = 13*w(y) - 6*x(y). Factor j(v).\nAnswer: (v - 6)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*n - 197001 - 1174478 = 11767. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -19*s**3 - s - 2. Let z = 1275 + -1263. What is the remainder when b(-1) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-44)\/33*(-9)\/6. Suppose 22 + 46 = g*x. Calculate the remainder when 101 is divided by x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*b**2 - b - 44 + b**3 - 56 - 4*b**2 + 118 to the form n + h*b**3 + y*b + p*b**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 177*f - 145*f = 1054624. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 676296246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 693524393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 26 = -2*j - 2*j, 0 = 5*j + 2*a + 19. Let g be 5\/((-10)\/(-6)) + 9. Let y = g + j. Calculate the remainder when 33 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 441616 (base 7) to base 16.\nAnswer: 12eaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*-2*sqrt(22))\/((sqrt(220)\/sqrt(4))\/sqrt(5)) + 5)**2 + 4.\nAnswer: -60*sqrt(2) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2718 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27 - (15 + -10)) + 20 + -43?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/90351 and 3\/3212480.\nAnswer: 28912320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -2*s + 4. Let g = -7 - -4. Let r be k(g). Let x = 34 - r. Calculate the greatest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4\/13  (b) 0  (c) 2  (d) -1\/12  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + 13 + -14 + (-8 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4032) - (-1*sqrt(4032) - sqrt(4032)))\/(-5*sqrt(4)*-2) + -1 - ((1 + sqrt(175))*-2 + ((sqrt(175) + -2)*-4 - sqrt(175) - sqrt(175))))**2.\nAnswer: -3052*sqrt(7)\/5 + 333893\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -38b6 (base 12) to base 5.\nAnswer: -201344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 351 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1514 + 1)*((-399)\/51)\/133?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v**2 - 5*v + 5. Let l be z(1). Suppose -2*q - l*w - 8 + 56 = 0, -3*q + 76 = w. Let j = -236 + 444. What is the greatest common divisor of q and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q = -6.6 - -6. Let d = -0.0044 - 0.3956. Let l = q - d. Which is the second biggest value?  (a) 7\/2  (b) 1  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from atttttttdtattdt. Give prob of picking 1 t, 1 a, and 1 d.\nAnswer: 44\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2707 = -m + 9938. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 4*z - 51. Let d be t(11). Let x(f) = f + 7. Calculate x(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.3 and 0.82960915938.\nAnswer: 0.52960915938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f = 4*y - 15, 5*y + 64*f = 69*f + 20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-75)\/(-2))\/15)\/(2\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -287*v + 102*v - 77*v + (2 - 1 - 3)*(v - 1 + 1) - v + 0*v + 2*v to d + r*v and give r.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -999 - -999.00025728. Round j to six decimal places.\nAnswer: 0.000257","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 225186 is divided by 75056?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -2011*k + 92500. Calculate y(46).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-2\/7)*m**(-1\/30))\/((m**(-7\/4)\/m)\/(m*(m\/(m\/m**1))\/m)) assuming m is positive.\nAnswer: m**(2101\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 - 89 - (-8 - -20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrfgpgfrgjurrjg. What is prob of picking 2 j and 1 u?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 551322245 - 4?\nAnswer: 551322241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the third derivative of n**4 - 3*n**3 - 8*n**2. What is the first derivative of i(l) wrt l?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000101974 to six dps.\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -69?  (a) -0.3  (b) 1  (c) 5  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4089979 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gggd when four letters picked without replacement from {g: 4, w: 1, m: 1, o: 1, d: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*y - 2*y + 398*y**2 - 2*y**4 - 403*y**2 in the form l + i*y**2 + t*y + s*y**3 + v*y**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a century in months?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 12 + 759?\nAnswer: 76b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - (-10 + 16 - 1)) + 8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (3 + 7) - -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -7*r + 1. Let f be (-2)\/10 + 16\/(-200)*-15. What is d(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*g + 2*g + 0*g - 5*g + 10*g - g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t - 3*t - 4*t + (4*t - 3*t - 2*t)*(0 - 3 + 1))*(3*t**4 - 3*t + 3*t).\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -23196272, -23196271, -23196270, -23196269, -23196268?\n\"Answer: y - 23196273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 29207559911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 8) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -15*z. Let s(n) = 1 + 2 + 0 + 2*n**2 + 3*n. Suppose 10*m + 45 = m. Let p(l) = -3*l**2 - 5*l - 5. Let x(c) = m*s(c) - 3*p(c). Determine f(x(h)).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 310 and 330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the third derivative of -1\/120*c**6 - 1\/15*c**5 + c**2 - 1\/6*c**4 + 0*c - 1\/6*c**3 + 0. Let z = 3 - 6. Give i(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 - (16 + -40)) + 0 + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 PM and 12:13 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 23233 - -10?\nAnswer: 23303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 8 + 0 + (8 - 6) + -5 + 26\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*-296.5581.\nAnswer: 1482.7905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 51989\nAnswer: 3\/51989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 27497, 27477, 27457, 27437?\n\"Answer: -20*w + 27517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -53340*p*s + 305*p + 40443413*s wrt p.\nAnswer: -53340*s + 305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*m**2 + 4978*m + 2 - 2486*m - 3*m**3 - 2484*m in the form d*m + p + o*m**2 + s*m**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.788015 micrometers to kilometers.\nAnswer: 0.000000007788015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 81.6611 days?\nAnswer: 7055519040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 905001 is divided by 898?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*k*l**3*x**3 + 1454*k*l**3 + 3*k*l**2*x - 21116734*k*l*n*x - 3*l**3*n*x**3 - 10*l**3*x**3 + 3*l**3*x**2 wrt n?\nAnswer: -21116734*k*l*x - 3*l**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3551784 is divided by 798?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) -1\/6  (b) 1  (c) -11  (d) 2.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 20*l**2 - l + 1. Calculate the remainder when q(-2) is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-1940)\/224*(-192)\/480 and 55\/296?\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 0*d - 21 = 5*g, 0 = 5*d + 3*g - 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15698 is divided by 63.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from jjjkdkyyyyye?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1972.7 + 2059. What is p rounded to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.0687 + -57.9313. Let l = 347412.9998 + -347472. Let s = l - n. What is s rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 5*x + d - 20 = 0, -2*x - 5*d = -35. Solve 3*c + 4*g = c + 14, 2*c + x*g - 18 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 100685808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1491 - -1486. Let s = -62 + 63.9. What is the second biggest value in -6, s, i, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a kilogram in grams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 9 = -4*x + 19, -4*x = -5*j - 22. What is the remainder when ((-22)\/x)\/((-15)\/120) is divided by -9*(0 + (-2)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (5 - 1 - 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3232 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.4 + -3.6. Let k = 3.19931 + u. Round k to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**3 + 4*i + 1. Let x be g(-3). Suppose -46*j - x = -48*j. Calculate the remainder when 150 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 714 = 5*t - 71. Suppose -t + 213 = 4*y. Calculate the highest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 20 from 24.31458743.\nAnswer: 4.31458743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**4 + q**4 - 2*q**5)*(1 + 2 + 1) - 9236 - 89*q**5 + 9236.\nAnswer: -97*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28145?\nAnswer: 5, 13, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103 is divided by 33\/6*1\/((-3)\/(-30))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 + 1. Suppose -9*u + 11*u = 22. What is the highest common divisor of c and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n - 5. Let q(l) = -l**3 - l**2 + 2*l + 1. Suppose 5*t = 4*d + 10, 9 = -4*d - 11. Let y be q(t). Let c(z) = 1. Calculate y*v(b) + 4*c(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 + 12*t**2 - 10*t + 5. Give s(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010001000 + 101?\nAnswer: 1010001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85*z + 16 = -81*z - 5*y, 3*z - 5*y = 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 314 minus -0.09?\nAnswer: 314.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v = -3*v - 105. What is the highest common factor of v and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7628.305 litres to millilitres.\nAnswer: 7628305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*r + r**4 + 3 + r**3 - 7*r - 2 + 4*r to p*r**4 + l*r + f*r**3 + s + j*r**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -9, -3, 4067, -0.11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -4*w + 4888, 7*y + 4 = 6*y. What are the prime factors of w?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, 511\/5, -20 in decreasing order.\nAnswer: 511\/5, 2\/9, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 2*z**3 - z**2 - z + 522. Does 26 divide b(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 + -10. Let d be (-26)\/10 + 3\/s. Let g = -0.1 + -0.1. Which is the nearest to d?  (a) -3  (b) -1\/4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 300 and 225.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**3\/5 + 21159*j**2 - 186595920*j + 932450700.\nAnswer: -3*(j - 17630)**2*(j - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -28*y**2 + 4*y. Let f(v) = -v + 2*v + 0*v. Give h(f(z)).\nAnswer: -28*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -26 in 2\/61, 1\/4, 2\/3, 3, -1517?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -18 - 26e3?\nAnswer: -270b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 9, o: 5}. What is prob of picking 3 x and 1 o?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -1. Let w(o) = -o - 4. Let y be (-9)\/11 - 2\/11. Give y*w(x) + 6*q(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -47 + 525. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2258354 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 20304 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 9042, 9017, 8966, 8877, 8738, 8537?\n\"Answer: -2*a**3 - a**2 - 8*a + 9053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.1 and 121.1.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-49)\/(-588))\/((-3306)\/(-456)).\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - -2. Suppose b - 10 = -4*q. Is 2 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -10*x - 37. Let i be z(8). Let q be ((-471)\/104)\/1 + (-18)\/i. Is q at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**2 + 25*k**2 - 2*k**2)*(-1 + 3 + 1) - 2*k**2 + 14*k**2 + 0*k**2 + (k + 0*k + k)*(-2*k + 1 - 1).\nAnswer: 74*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 + -29. Let m be 322\/8 + (-2)\/8. Let d = m + b. What is the remainder when d is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 31 + -14. Let q = t + -21. What is the nearest to 0.5 in -3\/2, q, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -469 + 469 - 601*r**2 in the form t*r**2 + w*r + s and give t.\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) 0.3  (c) 108914241\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*j + 21*j = 21 + 619 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-16 - (-1 - -1)) + (-2909 - -2924)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/(-2)*(-8)\/(-30). Let p be 1 + 60\/(-14) + 3. What is the third biggest value in p, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -8373*t - 217713. Give k(-26).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:07 AM and 3:58 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 63915.79mm?\nAnswer: 0.06391579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2\/1219 - -2159\/572930. What is the common denominator of -91\/2 and b?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164*c - 20 = 176*c + 304 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1618 - -1674. Solve -11*a = 3*a + r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -h**2 + 2395*h + 3743894 = 0.\nAnswer: -1078, 3473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28519 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2c4ac474 + 1?\nAnswer: 2c4ac475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -130609, -522434, -1175471, -2089714, -3265157, -4701794, -6399619?\nAnswer: -8358626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100100101100 + -11001?\nAnswer: -10100101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l**4\/5 + 702*l**3\/5 - 79194*l**2\/5 + 2603138*l\/5 + 30367836\/5 = 0. What is l?\nAnswer: -9, 109, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 621 + 0?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(272) + -1)*-2 - (sqrt(153) + -1 + -4)*2) + 0.\nAnswer: -14*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 14 and 0.095522.\nAnswer: 1.337308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -35.675 + 0.675. What is the second biggest value in -6, z, -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of 14*v**3\/69 + 79*v**2\/23 + 44*v\/23 - 61. Suppose m(c) = 0. What is c?\nAnswer: -11, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27525247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 11 = 2*x, -x = -2*z - 2*x + 7. Suppose 45 = 3*i - 5*v, 3*i + v - 18 = -z*v. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, 4, 8, 3, -16 in descending order.\nAnswer: 21, 8, 4, 3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, d: 4, m: 7, c: 1, r: 2}. What is prob of sequence md?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -29\/3  (b) 232\/25  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 160, 117, 74, 31, -12?\n\"Answer: -43*b + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-4\/3))**(-6) assuming t is positive.\nAnswer: t**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 86*s - 166*s - 265*s - 24 + 22 in the form x*s + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6 and -271755?\nAnswer: 1630530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -101 - -47. Let m = k + 77. Calculate the remainder when 68 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 0 = -4. Suppose z + 11 = 3*w. What is the greatest common factor of 12 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -24 + 1053175.7651.\nAnswer: 1053151.7651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -45525441 - 1?\nAnswer: -45525442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 - -10.02. Let h = 0.03 + g. Let b = -2131 - -2130. Sort -3\/8, b, h.\nAnswer: b, -3\/8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-13)\/(-3) - (-18)\/(-54). Suppose 4*v - 21 = q*m + 19, -48 = -5*v + 3*m. Solve -18 = -3*x + v*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.8 and -0.054.\nAnswer: -0.0432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 277, 502, 703, 868, 985?\n\"Answer: -2*g**3 + 239*g + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a millennium in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of ((-14)\/63)\/(42\/(-2183139))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16583 - 16606. Which is the third biggest value?  (a) h  (b) 3\/71  (c) -5  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 144166 and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/208 and -83\/126228800?\nAnswer: 1640974400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 2\/5*r + 1\/5*r**2 + 1\/5 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (918000\/5460)\/90 - 2\/13.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = 2*r + 10, 9*r = 860*m - 855*m + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10758762 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 + c - 1. Suppose -3 + 13 = 10*z. Let u(n) = -16*n**2 + 2*n - 21. Let p(j) = z*u(j) - 3*b(j). What is the derivative of p(f) wrt f?\nAnswer: -26*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 6*n = 4*n - 34, -w + n + 17 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -1  (c) 0.017\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 4, -1, 236 in ascending order.\nAnswer: -1, 2, 4, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3, -5, 2, 11485 in decreasing order.\nAnswer: 11485, 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2488 + 11*v - 18*v + 2488.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 + 5)\/2 - -1. Suppose 3*n - r = -d, 4*n = -3*r + 4 - 31. Let s(k) = 3*k**2 - 4*k - 2. Is s(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*a - 5535465 = -29*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) 238  (c) 2\/5  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**2 - 12*v + 18. Let h be g(-13). Suppose -5*x - 2*p = -497 - 135, -h*x + 648 = -2*p. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 772 - 12355?\nAnswer: -11473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (19 + -25 - -21) + 4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -125671 divided by 13?\nAnswer: -9667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59157.\nAnswer: 3, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3789243 and 17470?\nAnswer: 37892430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.0902226 + -0.3573\nAnswer: -0.2670774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 6*s + 3*j + 10 = 0, 2*j = 0. Solve -s*r + 0 = -2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 271.4205 to 0 decimal places.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1357.712557 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 6*d**2 + 20*d + 57. Let h be b(-3). Calculate the highest common divisor of 255 and h.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 18\/5 of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*a - 2. Let o(b) = -2*b**2 + 11*b + 17. Let j be o(7). What are the prime factors of (348\/a)\/1 + j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 u when three letters picked without replacement from dvuvdudqxxvxddu.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -763, -764, -765, -766, -767, -768?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -842\/18919 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 387, 2 in descending order.\nAnswer: 387, 15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/6 and 155\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 + 5*u + 3. Let z be x(-6). Suppose r + 3 = 6*r + v, -3*r - 3*v + z = 0. Let k = 15 + r. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (94*t + 92 + 76 - 169)*(-2 + 2 + 2*t**2) as o*t**3 + k*t + n + h*t**2 and give o.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - (11 + (11 - (-9 - -30)) - 23)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -429049 (base 10) to base 2\nAnswer: -1101000101111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 PM and 5:32 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ceieeeeeeepieie. What is prob of sequence ce?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 121123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1751.6 rounded to the nearest 10?\nAnswer: -1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes before 2:31 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 2*x + 8 = 0, 4*x = 3*b - 4503 + 4491 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 68 = -1240. Calculate the remainder when l is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 h, and 1 g when three letters picked without replacement from {g: 2, h: 4, k: 5}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dfl when three letters picked without replacement from {k: 1, f: 4, d: 6, l: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l**2 - 4*l**2 - 4*l**2)*((7 - 2 - 3)*(-l**3 + 5*l**3 - l**3) + (-5*l**3 + 0*l + 0*l)*(1 + 4 - 3)).\nAnswer: 24*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = 28029*z - 28025*z - 22, 4*z = -85*o + 1599 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 79\/2 of a day in minutes?\nAnswer: 56880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:36 AM and 4:31 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 2 = 10. Suppose b - 103 - 39 = 0. Suppose -4*n = -3*u + 85 + 69, v*u - b = n. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 655 + -658. Which is the closest to 1?  (a) -0.4  (b) q  (c) 0.6  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2429, 2432, 2435, 2438?\n\"Answer: 3*r + 2426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2293 + 2394. Solve 131 = 5*m + w for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -34*u**6 - 369*u**5 + 63*u**3 - 6*u**2 - 688555.\nAnswer: -4080*u**3 - 22140*u**2 + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*g - 10*g - 1 - 19*g)*(1 - 3 + 4).\nAnswer: -32*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.7 + 0.78. Let q = -0.92 - j. Let d be ((-1)\/(-10))\/((-2)\/(-4)). Sort q, 1\/4, d.\nAnswer: q, d, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (208\/(-65) + 3)*-50. Solve -a*g = 16*g - 0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2  (b) 6  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2.5 in -3, -9\/7, -1\/31?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 - 6. Let c = -4.16 - -3.66. Let l = 86\/11 + -655\/88. What is the nearest to l in -2\/11, o, c?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23384?\nAnswer: 2, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 10642968 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -7*f**2 + 6*f - 7. Let a(g) = 10*g**2 - 9*g + 10. Let p be 55\/(1210\/(-176)) - -1*13. What is p*a(w) + 7*k(w)?\nAnswer: w**2 - 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 181291\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 6 + 0 + 5 - 3 - 6 + 5 - 2 + (-2 + 1 + 2)*(-5 + 3 + 1) + 1 - 1 - 2)*(-h**2 - h**2 + 3*h**2).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p - 2. Let l be q(-5). Let h be 27 + (6\/l - 1). Let u = h + -18. What is the greatest common divisor of u and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (147473*s + 459*s**2 - 147473*s)*(-s**2 + 2*s**2 + 2*s**2).\nAnswer: 1377*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*p - 168 + 28 = 0. Solve -3*y - p = -4*f, 5*f + 46 = -4*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j*j*j**2*j**(-7))\/(((j\/(j\/j**(-4)))\/j)\/(j**(-7)\/j*j)))**(-3) assuming j is positive.\nAnswer: j**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 15 = j + 5*c, -3*j = -4*c - 15. Let f = -4 - -7. Suppose 0 = -7*s + 3*s + 8, -f*d + 3*s = -3. Solve -d*w = -j*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 2 e when three letters picked without replacement from esxcfdscecsdsc?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2\/6 + 2147*k\/6 + 285127\/3.\nAnswer: -(k - 2386)*(k + 239)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-8)*m**(2\/15)*m\/m**(1\/3)*m\/(m*m**(2\/3)\/m*m) assuming m is positive.\nAnswer: m**(-118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*h - 18 - 47 = 0. Find the second derivative of -44*t**5 + 78*t**5 + 8*t - 39*t**h wrt t.\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10688 and 56128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*v - 3*j + 102, 27041 = 5*v - 2*j + 26934 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*b**2 + 269*b**2 - 260*b**2.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 27, 4, 122, -3, -2, -1, -4 in descending order.\nAnswer: 122, 27, 4, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12 and 11.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 21*u - 2*u = -153, 3*k - 8*u = -13*u - 79 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 908 and -17.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-356)\/13706)\/((-2)\/(-14))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -144 - -144 - (1 + 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -201892979 divided by -4924219?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -21*c**3 - c - 2. Let f be m(-1). Let u = 20 - f. Let d(b) = -5 - 103*b + u + 105*b. Give d(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in sixty-four fifths of a second?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, 1, -26 in ascending order.\nAnswer: -26, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (11*j + 8*j + 61*j)*(0 + 1 + 0) + (3 - 1 - 4)*(13*j + 8*j - 10*j) to the form x*j + q and give x.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -203679.754 to the nearest 1000.\nAnswer: -204000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -184 - -799. List the prime factors of m.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**(4\/11))\/w**(-8))\/(w**(-4\/3)*w\/(w**(-6)\/w*w)))**(-4\/11) assuming w is positive.\nAnswer: w**(-488\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 130422404.\nAnswer: 2, 7, 911, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 4*a = 2*i - 16, 0 = -5*i + 5*a + 20. Solve 2*g = -2*g - s + 6, g + s = i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**3 - 11*j**2 - 3*j - 19. Let u be d(8). Let f be u\/324 + (-6)\/(-8). Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2213.2 > 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 16\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -9*w**3 - 55*w**2 + 5 + 11*w + 5*w**3 + 62*w**2 + 5*w**3. Determine r(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1303541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2b (base 12) in base 2?\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 8 = 0, l - 3*l = -3*r - 138. Let w = 2412 - 2393. What is the remainder when l is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*i - 120*i = -3*l + 2279, -2*l - 2*i = -0*l + 50 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 68*h**2 + 39*h - 17. List the prime factors of w(-17).\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r*r**20*r*r**12*(r**(-2\/9)\/r)**(5\/3))**46 assuming r is positive.\nAnswer: r**(40940\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -129 - -131. Solve -7 = g*n + m, 3*m - 7*m = -n + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -177*g + 941 + 1863 + 736. Solve -2*p + 10 = 4*z, 47*z - 42*z = 4*p - g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a**4 + 51198*a**3\/5 + 3862644*a**2\/5 + 14076264*a - 3808800 = 0. What is a?\nAnswer: -1058, -50, -30, 4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, b: 6}. Give prob of picking 3 b.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of 7\/12*n**4 - 1\/3*n**3 + 0 - 2*n**2 - 3*n. Is v(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/14)\/(2\/(-14)). Let h = -7 + 13. What is the smallest common multiple of h and (-7)\/(14\/(-36)) - o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-84)\/16)\/(-3) - 1. Sort -2, 5, z in decreasing order.\nAnswer: 5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 3*y + 20 = a, 0 = 4*a + 4*y - 44. Solve p - 5 = -5*l, 2*p - l = a - 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20261.\nAnswer: 20261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -12924, -12530, -12136, -11742?\n\"Answer: 394*c - 13318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -9, -58, -145, -276, -457?\n\"Answer: -s**3 - 13*s**2 - 3*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 + 20*d**2 + 4*d - 82. What is the thousands digit of j(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 - 8. Suppose -n - 6 = -4*k. Find the second derivative of -t + t - t + t**k wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*v**5\/2 - 218*v**4 + 1817*v**3\/2 + 116*v**2 - 778*v + 240 = 0. Calculate v.\nAnswer: -1, 2\/5, 2\/3, 5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/4 - (-1185)\/(-20). Let m = u - -78. What are the prime factors of (-1 - (-14)\/m) + (-2794)\/(-99)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 5*z - d = 232, -118 = -z + d. Let r(p) = 37*p**3 - p**2 + 1. Let j be r(-1). Let y = z - j. Round y to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -3*n + 7. Let a(u) = -2*u + 5. Let p(c) = -7*a(c) + 5*t(c). Let f(s) = -12*s**2 - 33*s - 27. Let v(b) = f(b) + 3*p(b). Find w, given that v(w) = 0.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**5\/(h\/h**(-2\/13)))\/((h*h\/(h**(2\/7)*h))\/(h*h**0)))\/((h\/h**4*h)\/((h\/(((h**(-1\/2)*h)\/h)\/h)*h)\/h*h*h*h))**43 assuming h is positive.\nAnswer: h**(59447\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14 - 42\/21)*1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vic when three letters picked without replacement from {v: 1, c: 1, e: 11, i: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 199549 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 3  (b) -26  (c) -0.2  (d) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -966042 divided by -154?\nAnswer: 6273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 240623 (base 9) to base 7\nAnswer: 1142205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y + 5*y - y)*(0*y - 4*y + y + (-2 + 1 + 2)*(y + 2*y - 4*y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five eighths of a hour in seconds?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5602568 is divided by 2801281?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyyyjyyiyiiyibjy. Give prob of sequence jyyj.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -4*u. Let r(j) = -1295*j + 2574. Let k(o) = -457*o + 858. Let a(n) = -17*k(n) + 6*r(n). Give z(a(d)).\nAnswer: 4*d - 3432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 4*a + 1 = 0, 0 = g + g - 4*a - 2. Let p(z) = 5*z**3 - z. Let u be p(g). Solve 5*o = 5, 4*r - 4*o + 12 - u = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 19 = -w, 0 = -5*w + 7*w - 2*c + 12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1400\/112 + (-1)\/(-2)*-17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11219 + 11218.5. Which is the closest to 30?  (a) 9  (b) u  (c) 1\/2  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 + 0 - 15*w + 17 + 0*w + 3. What is the lowest common multiple of 20 and t(14)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76228 is divided by 25406?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (32\/(-90))\/((-31229)\/3674*2\/170)?\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -334 - -330. Let r(h) = -158*h + 96. Let p be r(t). Calculate the greatest common factor of 56 and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1868  (b) -2  (c) -0.4  (d) 3  (e) -4  (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) 5  (c) -13  (d) 4  (e) 0.5  (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.011984642 rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*a = -5*a + 3679. Let n = 500 + a. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1807.3368 months?\nAnswer: 150.6114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**3\/7 + 84110*i**2\/7 - 12016*i.\nAnswer: 2*i*(i - 1)*(i + 42056)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 139 - 24?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 13003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/455922 and 22\/27.\nAnswer: 455922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1212 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 31*n. Let v(g) be the third derivative of 0*g**3 + 0*g**4 + 4*g**2 + 0*g + 0 + 1\/15*g**5. What is v(p(l))?\nAnswer: 3844*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -1  (b) -0.2  (c) 40  (d) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 12 + 5*m**3 - 4*m**2 + 211*m - 105*m - 12 - 108*m. Let r(x) = x**2 + x. What is 2*l(o) + 6*r(o)?\nAnswer: 10*o**3 - 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**7\/h)**49*(h\/(h\/(h\/(h**(-6)*h))))**13 assuming h is positive.\nAnswer: h**372","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -33956*k**3 + 135821*k**2 - 135812*k - 12.\nAnswer: -(k - 2)**2*(33956*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**2 - i**2 + 2*i**2)*(-60*i**2 - 2439*i + 2439*i).\nAnswer: 60*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.478747 and -0.5.\nAnswer: -0.978747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 322, 1154, 2542, 4486, 6986, 10042, 13654?\nAnswer: 17822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(2\/17)*n*n**(2\/7)*(((n\/(n\/n**(-1)))\/n)\/n)**20*(n**(3\/4)\/n**(2\/7))\/(n**(-2\/3)\/n*n)**21 assuming n is positive.\nAnswer: n**(-3001\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - -1e?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.3006189ug?\nAnswer: 300.6189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((1 + sqrt(242) - sqrt(242)) + -1 + sqrt(128))**2 - (sqrt(2) + sqrt(2)*-1 + -2 - (sqrt(14)\/sqrt(7) + -3))**2.\nAnswer: 2*sqrt(2) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 67, 335, 805, 1477, 2351?\nAnswer: 3427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1\/8 - -3\/8. Let i = -5.684 - 0.016. Let g = i + 6. Which is the second smallest value?  (a) y  (b) g  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010111111110000001111010 + 0?\nAnswer: -1010111111110000001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 243*n = 244*n - 4*q + 44, 0 = 2*n - 11*q + 100 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95) - -5*(sqrt(95) - sqrt(95)*1))\/(-6*sqrt(80)).\nAnswer: -sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddza when four letters picked without replacement from {g: 3, d: 10, z: 3, e: 2, a: 1}.\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 78 and 11518.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 + 0)\/(62\/(-124)). Suppose -5*j - 3*g + 3103 = 0, -5*g - 1237 = -2*j - b*g. List the prime factors of j.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 277.9485 milligrams in kilograms?\nAnswer: 0.0002779485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes after 4:25 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -10*t + 2. Let u be (-7)\/14*(3 - -1). Is d(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 174 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -7080*n**2. Let z(o) = o**2. Give -v(i) - 5664*z(i).\nAnswer: 1416*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -239, -256, -289, -344, -427, -544, -701, -904?\nAnswer: -1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -291, -517, -729, -921, -1087, -1221, -1317, -1369?\n\"Answer: c**3 + c**2 - 236*c - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bzbzbvvzorzzbo. What is prob of picking 1 v and 1 b?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1.37 - -0.25403616\nAnswer: -1.11596384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-64)\/(-36)*(-6)\/(-24). Let v be 2*-10*(-2)\/36. Factor v*q**3 + 2\/9*q - 16\/9*q**2 + j.\nAnswer: 2*(q - 1)**2*(5*q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*z + 28 = -2*f + 87, 0*z - 5*z + 3*f + 4*f = 5*f + 41 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27.5465 + 27.5. What is x rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.04 + -0.08. Let w = -0.06 + s. What is w rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9.2 - -124.8. Let h = 132 - g. Which is the fourth smallest value?  (a) h  (b) 0.2  (c) 1  (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3714066725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1108689 + 1108689.599959. Let p = -0.89 - -0.29. Let d = u + p. What is d rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**5 + 9*n**3 - 9*n**3 + (5*n + 2*n + 10*n)*(n**4 + n**4 + n**4).\nAnswer: 50*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 3*o + 9764 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 3*c**3 - 2*c**2 + 8950*c - 4. What is m(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 6 = -o. Suppose -4*b = -8 - o. Is b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118*u - 360766 + 357580 = 0 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -7 + (1 - -1) + 4 - 1. Sort 3, -5, o in ascending order.\nAnswer: -5, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {x: 7, c: 2, h: 4, l: 2, m: 1}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -402 + 6780?\nAnswer: 637c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -543, -547, -553, -561?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes after 12:57 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 4.2. Which is the third smallest value?  (a) 3\/2  (b) o  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 5*k + 4*l, -2*k + 1 = -4*k - 3*l. What is the least common multiple of 11\/3 + k\/3 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*15*(-75)\/200*(-384)\/80*1.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10774075 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -1 - 3 - 239*u**2 + 235*u**2 + 2 + 5 - u**3. Let w be (-3)\/((-1)\/(-4 - -3)). What is x(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-3))\/4*4\/24?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 32854147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -457*l**6 + 397*l**2 wrt l?\nAnswer: -54840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 923 divide 31743439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 71360 divided by 8.\nAnswer: 8920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b = -13*b + 3654. Is b a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*d**3 + 3*d**2 + 12*d**3 + 3*d**2 - 2*d**4 - 3*d + 2*d**2 - 155 + 157 to c*d**4 + w*d + o + k*d**3 + q*d**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-2)*(-8)\/30*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**3 + 3*p**2 + 3*p. Let x(v) = 4*v**3 + 6*v**2 + 5*v. Let u(o) = o**3. Let r(d) = -2*u(d) + x(d). Calculate 5*h(c) - 3*r(c).\nAnswer: -c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1328360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 129 divide 81512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 4*c + 3, -2*c = r - 0 - 1. Put c, 0, -1 in decreasing order.\nAnswer: 0, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 730\/25 + (-1)\/5. Let p(l) = -h*l + 3*l - 11 - 4*l. Is p(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.5 and -53480682.\nAnswer: -53480682.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14089341 and 777?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 611396545.\nAnswer: 5, 1033, 118373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 14, 2, -32, -94, -190?\n\"Answer: -d**3 - 5*d**2 + 10*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9423, -9424, -9425, -9426?\nAnswer: -9427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6, -9, 0.1, 63?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, -857 in increasing order.\nAnswer: -857, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2164 by 2.\nAnswer: -1082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (4 - -1 - (-33 - (-27 - -2))) + (-4 - -14)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10001110001010011010011 (base 2) to base 4.\nAnswer: -101301103103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -125563 + 125562.947623. Round c to three dps.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 4*h**2 - 12*h - 8. Calculate y(6).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from gggngggxgxxnxgsg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10.005 - -10. Let j = -5.995 + u. Let x = j - -5.6. Which is the nearest to -1?  (a) -5  (b) x  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.6, -0.1, 1\/2, -2\/3, -5\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -94340, -94427, -94568, -94763, -95012, -95315?\nAnswer: -95672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (8\/((-360)\/(-281529)))\/(3\/15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + -3. What is the derivative of -13*n + 13*n - 1 + 2*n**y wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -10 - 4 - (-8)\/2. Let u be 4\/1 - (-57601)\/k. Let n = u - -5750. Calculate the common denominator of n and 21\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3527726 + -3527660.999785. Let u = z - 65. What is u rounded to 5 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 - 43*r**2 + 55*r - 447. Is 76 a factor of q(-45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*c - 81105 - 14196 = 31511. What are the prime factors of c?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 - -10 - (1 - 2). Let y = 22 - k. Suppose -y = 2*r - 4*r. Solve 5*g = r*l + 2*g, 2*g = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, 39, 20, -41, -144, -289, -476?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16*q**2 + 14*q**2 + 36*q**2 + (q - q + q)*(-2 - 2*q + 2) + q**2 - 4*q + 4*q.\nAnswer: 65*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fvvvffvv. Give prob of sequence fv.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 10, v: 4}. What is prob of sequence vbb?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -92268*r - 369112. Determine n(-4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 + -96. Let o be (-4)\/10*v\/4. Suppose -2*p + 23 = 2*p + 3*h, -4*p - 4*h = -20. What is the greatest common factor of p and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1151 * -3\nAnswer: 3453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*j - 48 + 20 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(g*g**(-5\/7))\/g)\/g**(-2\/39) assuming g is positive.\nAnswer: g**(92\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1880 + 1890. Suppose 4*z - 3*z - 47 = 0. Calculate the smallest common multiple of z and m.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -338*s**3*t**2 + 310775*s**3 - 12*s*t**2 + 3*s*t wrt t?\nAnswer: -676*s**3*t - 24*s*t + 3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y + 8. Let x be g(6). Let q = 169 + -175. Sort -3, q, x in decreasing order.\nAnswer: x, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 1185*q**2 - 2376*q + 1176. Let w(c) = -c**3 + 1184*c**2 - 2369*c + 1176. Let o(p) = 2*v(p) - 3*w(p). Factor o(k).\nAnswer: 3*(k - 392)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o\/o**(-36)*o**22 assuming o is positive.\nAnswer: o**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 14, 28, 66, 140, 262, 444, 698, 1036?\n\"Answer: 2*u**3 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -486 smaller than 0.0546758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 + 12*r**2 + 2*r - 21. Let u be s(12). Let a = -46 - -31. List the prime factors of u\/9 + (-1285)\/a.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 + -4. Suppose 4*p - 5*z = 8 + 30, r*z - 34 = -2*p. Calculate the remainder when p is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 + (107 - 102) + -52?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 25*t**2. Let f(w) = -3*w. Calculate d(f(x)).\nAnswer: 225*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -160136*f**3 - 74803?\nAnswer: -480408*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 143\/312200 and -41\/1050.\nAnswer: 936600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u = -14*u - 5*x + 12085, -5*u = -x - 12085. What are the prime factors of u?\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that j**4\/4 + j**3\/4 - 17*j**2\/4 - 21*j\/4 + 9 = 0.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1290 = -8*b + 37*b - 459*b. Solve -2*q + 7 = h, q - b*q - 2*h = -12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 486957 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -10 - -76 - (182 + -96)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76 = d + 74. Suppose 11 - d = -9*f. Let g be ((-28)\/7)\/(-1 + f). Solve 3*w = 0, -4*v + 4*w - g = 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9563 a factor of 5490366938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -4*f**2 + 4 + 0 - 5 - 19 - 13*f + 3*f**2. What is k(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 118*i**2 - 8*i**3 - 926*i**2 + 20*i**2 - 66*i**3.\nAnswer: -74*i**3 - 788*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 7:27 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7 or -28075\/3346?\nAnswer: -28075\/3346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(-20)*30\/18. Let l = 178 - 183. Which is the closest to m?  (a) l  (b) 0.5  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + -2. Suppose p*r + 2*r + u - 37 = 0, 2*r + 2*u - 42 = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 5, i: 2, h: 12}. What is prob of picking 3 x and 1 i?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -2  (b) 2  (c) -3  (d) 93  (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 2 f when four letters picked without replacement from mmmffmmpfmffpmmmmmm?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 greater than or equal to 197315\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -23 + 21. Which is the closest to -2?  (a) y  (b) -1  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, l: 10, u: 1, a: 1}. Give prob of sequence laus.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21129 and 70620161.\nAnswer: 7043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 14591147167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 28248017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 + (-31 - -5 - -15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2891, 2290, 1689?\n\"Answer: -601*y + 3492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 4) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 3\/11, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 - -8.9. Let l = b + 0.4. Let a be (3 - 0)\/(1\/1). What is the second biggest value in l, -5, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 173*k - 19546614 = -173555. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 116861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -8, 1, -0.214225 in ascending order.\nAnswer: -8, -3, -0.214225, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the first derivative of o**2\/2 + 3*o - 2. Let t be a(-2). Is 4 a factor of (-3 - -69)\/3 + t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -116*p + 112*p - 44. Which is the nearest to 0?  (a) p  (b) -0.2  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -952 = -3*m - 352. Suppose 3*t = 7*t - 5*n - m, 0 = -4*t + 2*n + 188. What is the tens digit of (t\/(-10))\/(-9)*66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -27 + 63. Let y = -2956 + 3010. What is the greatest common factor of y and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -38.000008 - -38. What is i rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22881476 divided by 7\nAnswer: -22881476\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9064 - 9067. Which is the closest to 9\/2?  (a) n  (b) -0.15  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6180\/129833 + -11\/1073. Are 0 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*p - 31*p**2 + p + 15*p - p to the form l + i*p**2 + t*p and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 + 16*n**2 + n - 1. Let q be f(-16). Let c = 21 - q. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -50\/21777 and -17\/5299863.\nAnswer: 630683697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -12795.48342 to the nearest ten.\nAnswer: -12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -663, -662, -653, -630, -587, -518?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 6 = 2*q - 0, -q = 5*x - 3. Suppose 5*f - 137 = 43. Is (12\/f)\/(q\/(-1146)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -144 + 154. Suppose c*a = 35*a - 700. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 320.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -95896 and -0.2.\nAnswer: 19179.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 1:29 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2 + 11*n - 245. What is c(10)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/720*-6*-3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2968, 5666, 10170, 16486, 24620, 34578, 46366, 59990?\n\"Answer: g**3 + 897*g**2 + 2070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -294, 4, -1.\nAnswer: -294, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1793936 is divided by 597917.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**6\/((k\/(k*k*k**(-1\/8)))\/k))\/((k*k**(-6))\/k**(-1)))**36 assuming k is positive.\nAnswer: k**(855\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -161057465, -161057464, -161057463, -161057462, -161057461?\nAnswer: -161057460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, 0.1, -0.074, -70, 0?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1105265, -1105257, -1105249, -1105241?\n\"Answer: 8*m - 1105273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 + (65 + -47 - 30).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 9*a = -i - 8, 5*i - 8 = -a. Suppose -3*g = -13 - i. Let h = -0.6 - -2.6. Sort -5, g, h.\nAnswer: -5, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 19587746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 120\/(-285)*(-1)\/4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17 - (0 + 11)) + -2 + -15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, b: 1, y: 18}. What is prob of sequence yb?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -222376, -444758, -667142, -889528?\nAnswer: -1111916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 19963796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 0 + 2 + 0\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.01?  (a) -13  (b) 10  (c) -17  (d) 1\/4  (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9.61 + -334428.635.\nAnswer: -334438.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -45772.0886105305 + 11.0695515305. Let n = 45761 + x. Let i = -0.019 - n. Round i to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -73 or -1512?\nAnswer: -1512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*w**6 + 76*w**5 - 39*w**3 - 103628*w**2 wrt w?\nAnswer: 240*w**3 + 4560*w**2 - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19201\/5 + -3841. Which is the smallest value?  (a) 5  (b) -40  (c) p  (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73\/5 of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**4\/13 + 1980*t**3\/13 - 1978*t**2\/13.\nAnswer: -2*t**2*(t - 989)*(t - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 3 = -2*r. Let y(u) be the third derivative of u**6\/24 - u**3\/6 - u**2. Let n be y(r). Solve -3*k + 14 = 2*k - 2*w, -3*w = -n*k + 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56324047 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3712341 by -1411.\nAnswer: 2631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**3 + s**2 - 7*s + 7. Is j(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(24\/(-3))*403\/(-31).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10 and 490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11472 + -309704\/27. Find the common denominator of a and -2*1*(-46)\/120.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of p**5\/120 - p**4\/24 + p**3\/2 - 4*p**2. Let y(u) be the first derivative of r(u). Find the first derivative of y(b) wrt b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 495*w**2 + 756*w**3 - 495*w**2.\nAnswer: 756*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 14642 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 90*(2\/4 - 0). Let g = d + -43. Find r such that 62*r - 5*r**4 + 49*r + 19*r**g + 9*r + 40*r**3 - 129*r**2 - 45 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/13101 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (167*g**2 + 3613 - 3613)*(7*g - 4 + 4) + (-2 + 2 - 2)*(1 + 2 - 1)*(-3*g**3 + 2*g**3 - g**3).\nAnswer: 1177*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10\/1561 - 3092\/4683. Sort 47, u, -0.02 in ascending order.\nAnswer: u, -0.02, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -3*p + 5*c, 2*p = p + c + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7958592 by 72.\nAnswer: -110536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/13 - 5435086*t\/13 - 86960864\/13.\nAnswer: -2*(t + 16)*(t + 2717527)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -50 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - l + 20 = 4*s, 0 = 5*l - 25. Solve 2*h = 2*a + 2, s*h - 5 = a - 3*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 3*j = 332. Let m = j + -53. Suppose p = -2*p + 135. Calculate the greatest common factor of p and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*j**4 + 2*j - 3*j**4 - 4*j)*(-7*j + 5*j - 7*j).\nAnswer: -27*j**5 + 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 890564 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -42203*f*v*x**2 - 30*f*x**2 - 2341*f*x - 2*v*x**2 with respect to v.\nAnswer: -42203*f*x**2 - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k = 12*k + 30. Suppose -4*s + 2*s = 0. Suppose s = -t - 0*t + k. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 + 3*n**2 + 7*n - 12. Let a be s(4). Solve -2*z - 13 + 3 = a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -2*m**2 - 2*m**3 - 3*m**2 + 3*m**3 + 5. Let a(p) be the first derivative of -p**4\/4 + p**3 - 3*p - 1. Determine -5*a(q) - 3*s(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 4*p - 5. Let y be n(2). Suppose -4*d = 4*r, -2*d - 3*d = y*r - 6. Sort -1, -4, r in decreasing order.\nAnswer: -1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2892237 to the power of 1\/2, to the nearest integer?\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 71, 140, 209, 278?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1273834 to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 7*q. Let t(b) be the first derivative of -28*b**3 + 68. Determine t(o(f)).\nAnswer: -4116*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**3 - 5*m**2 + 7*m + 7. Let t be a(-6). Let u be -2*(-2)\/t - 2. Suppose 0 = -5*j - 4*s + 56, -46 = -4*j - 3*s - u. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v - 1. Let p be x(-1). Suppose -f + 0 = -4. Suppose -4*k + 71 = 5*u - p*u, -f*k + 49 = 3*u. Calculate the smallest common multiple of 5 and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 2 - (96 - 99)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(162) + -1 + 1 + sqrt(162) - sqrt(162)) + sqrt(162))**2 + (sqrt(256)*1 + sqrt(256))\/(sqrt(40)\/(2*sqrt(5))).\nAnswer: 16*sqrt(2) + 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77.251cm to micrometers.\nAnswer: 772510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 57*((-8)\/(-2))\/12. Let f = 3 + x. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 + -8. Is 2\/(-6) - (-5)\/d - -811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2*j. Let k(l) = l**2 - 10*l + 24. Let h be k(11). Let m(s) = -h*s - 50*s - 45*s + 195*s. Give m(o(u)).\nAnswer: -130*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*s + 21 - 43 - 34 = 0, 2*s = 2*n - 0*s - 3*s + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 6*n**2 - 29*n + 23. Let p be y(4). Let m(k) = 2*k**2 - 2*k + 3. Let l be m(2). Put -1, p, l in increasing order.\nAnswer: -1, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 2*r = 2*r + 37, 8 = 4*r. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 0 - (-9 + 14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 625678 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*p - 252*p - 4 - 50*p + 2*p**3.\nAnswer: 2*p**3 - 314*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 85298209 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 64 and 34520?\nAnswer: 276160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 25*i + 2 - 63 - 114 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18 + 22. Solve 2*k + k = -3*y, 0 = 5*y + v*k - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t*t*t\/(t\/t**1)*t)\/t)**(-8\/5)*t**5\/(t*t**(-1\/7)))**(-5) assuming t is positive.\nAnswer: t**(79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 77 and 15.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -2487.20582+1\nAnswer: -2486.20582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2618 - 7.6?\nAnswer: -2625.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -3*b. Let g(a) = -44*a - 1. Let n(v) = 100260*v + 2228. Let p(i) = -2228*g(i) - n(i). What is p(s(c))?\nAnswer: 6684*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 2*x**2 + 35*x. Let n(r) = 85*r**2. Calculate v(n(m)).\nAnswer: 14450*m**4 + 2975*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001 times 6562.6?\nAnswer: 6.5626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -248*g**3 - 556*g**3 - 114*g**3.\nAnswer: -918*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.02, -4\/3, 3, -0.3, -421?\nAnswer: -421","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7684691?\nAnswer: 7, 23, 59, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13376 - 13369. What is the second smallest value in l, -96, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2141\/90 + 215\/9. What is the closest to -0.1 in 0.5, y, 0.3, -2.9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of -j**4\/6 + 2*j**3 - 4*j**2 - 242*j - 4. What is i(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 75, 67, 49, 15, -41, -125, -243, -401?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the first derivative of v**2\/2 + 9*v + 10. Let u be o(-5). Solve -h + 4*h = -5*g + 22, -2*h = u*g - 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**4\/21 - 20462*b**3\/21 + 40930*b**2\/21 - 6822*b\/7.\nAnswer: -2*b*(b - 1)**2*(b + 10233)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 90767222 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 76672081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes after 6:32 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 - 30*n**2 - 125*n - 89. Let m be q(33). Is 2 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 995123 to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20496602 and 2928086.\nAnswer: 20496602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.7 - 1.7. Let w = 30.9 + -30.7. Which is the biggest value?  (a) w  (b) x  (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1376, 7535, 24254, 56813, 110492, 190571, 302330?\n\"Answer: 880*z**3 - z + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 118404.\nAnswer: 2, 3, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 78.40323 - 78.4. What is b rounded to four dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7186 = 2*m + 2*x - 0*x, -14372 = -4*m - 2*x. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1320459734 a multiple of 3758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -62204445 by -6.\nAnswer: 20734815\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 3*x**2 + 5*x + 4. Suppose 4*v + 15 = -5*r, -6*v - r - 14 = -3*v. Let f be c(v). What is the units digit of 420\/f + 4\/18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2863 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from neejeejj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7336112 divided by -1.\nAnswer: 7336112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 438 = x, 0 = -g - 2*x - 31 + 137. Suppose -2*o + 10*t = 8*t - g, 0 = -5*o + t + 271. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13403, 13310, 13217, 13124, 13031?\nAnswer: 12938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 4*h. Let c(o) = o**2 - 4*o + 1. Let x(l) = 4*c(l) + 20*v(l). Calculate x(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*3\/4*(-4)\/(-6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 - -1) + -2 + 3. Let b = 2\/157 + 141\/1256. What is the closest to 0.02 in -5, p, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 5*h**4\/4 + 115*h**3\/4 - 9785*h**2\/4 + 110105*h\/4 = 0.\nAnswer: -61, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 3:41 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(1\/6)*z*z\/(z**(-32)\/z)*z)\/(z\/z**32*z\/(z\/(z\/(z*z**(1\/22)))*z)*z))**(-34) assuming z is positive.\nAnswer: z**(-75412\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1284, -0.1, -0.02.\nAnswer: -1284, -0.1, -0.02, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 364164470 to the power of 1\/3, to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 441*c. Let p(q) = 40*q. Let x(m) = 5*b(m) - 54*p(m). Let k be x(-2). List the prime factors of ((-6)\/(-5))\/((-12)\/k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -5*g + 58. Let v be z(4). Which is smaller: v or 40?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 4) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 26, -0.1.\nAnswer: -1, -0.1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/w**(-13)*w\/((w*w**(-14\/3))\/w) assuming w is positive.\nAnswer: w**(59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -7*p**3 + 6*p**2 + 12*p - 80. Let r(g) = -g**3 + g**2 + 2*g - 3. Calculate -6*r(x) + y(x).\nAnswer: -x**3 - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 1334 + 3*v**4 + v**3 + 1357 - 2583 as o*v**4 + q + n*v**2 + h*v + g*v**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 402 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(2448) + 2 + -4 - sqrt(2448)) + (-1 + sqrt(2448) + 1 - sqrt(2448)))**2 - ((-5 + (sqrt(2448) - sqrt(2448)*4))**2 + -4)) + 2.\nAnswer: -22047 - 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + d = 4*b + 4, -2 = 2*d - 5*b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c + 2 = 4*i, -5*i + 15*c + 2 = 62 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -444 divided by -3.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.02 + 0.18. Let v = 24.359945 - 24.56. Let f = a + v. What is f rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*g - z - 3*z + 20 = -27*g, 2*z = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 250343.\nAnswer: 250343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*s**3*z**2 - 86*s**3*z - s**3 - 32*s**2*z + 3735*z**3 + 607*z**2 + 3*z - 4 wrt z.\nAnswer: -4*s**3 + 22410*z + 1214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b + 12 = -5*b. Let d = 4 + -3. Let r be (-10)\/4*d*-2. Put b, r, 2 in decreasing order.\nAnswer: r, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111111 (base 2) in base 15?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11122 + 2210?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31435*c + 2395910 = -10601*c for c.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the first derivative of b**3\/3 - 2*b**2 - b + 56. Suppose -2*u = u - 9. Determine m(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.22 - 3353530761.\nAnswer: -3353530758.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21 + -1112?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s**2 + 51*s**2 + 27*s**2 + 42*s**2.\nAnswer: 122*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -316*u + 303 = -1947 + 38. Let f(r) = r**2 + 6*r - 89. What is f(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6204 + -6199. What is the nearest to 28 in c, -53, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 + -113 - -41 - 21?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -20 divided by -100798954\nAnswer: 10\/50399477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -263.2 - -254.193. Let w = u - -9. What is w rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 178, 343, 498, 637, 754, 843, 898?\n\"Answer: -u**3 + u**2 + 169*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, h: 3}. What is prob of sequence hg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the first derivative of 0*j**4 + 0*j**5 + 1\/3*j**3 + 13 + 2\/7*j**7 + 0*j**6 + 0*j**2 + 0*j. What is the third derivative of u(l) wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2708868021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -10880, -10890, -10906, -10928, -10956?\n\"Answer: -3*s**2 - s - 10876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m**21\/m*m*m*m\/m**(-4\/11)*(m**12)**41 assuming m is positive.\nAnswer: m**(5680\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 4*s - 17. Let g be (3\/222*s)\/1. Let t = g + -42\/185. Which is the biggest value?  (a) t  (b) 0.5  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -5\/2  (b) -1366  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -4203200 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q**2 - q - 2. Let g = 4 + -6. Let f be p(g). Suppose 2*v + l + 1 = f, 0 = v - 4*l - 8. Which is the second biggest value?  (a) -4  (b) -3  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35062337 (base 9) in base 3?\nAnswer: 1012002002101021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 114510, 466478, 1053092, 1874352, 2930258, 4220810, 5746008?\n\"Answer: 117323*o**2 - o - 2812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -1  (b) 9  (c) -286\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 + 0)*(y - 3*y + 0*y) + (0 + 2 + 0)*(6*y + 18*y - 35*y).\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (4 + -5 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 19252 - -71?\nAnswer: 19323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -3505, -6986, -10467, -13948, -17429, -20910?\n\"Answer: -3481*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:58 AM and 7:53 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h - 8*h = 8. Let f(y) = -11004*y**3 + 4*y**2 + y - 6. Let o be f(h). Let s = -134290 + o. Round s to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**2 + 866*t - 187489.\nAnswer: -(t - 433)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from icmifcccmiw. Give prob of sequence ifwm.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.03196754  (b) -0.5  (c) 1  (d) 4\/9  (e) 0.5  (f) 2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5712 + -274165\/48. Suppose 0 = 1987*d - 1427*d + 560. Is d bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -11296 divided by 16\nAnswer: -706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 47223, 94443, 141663?\n\"Answer: 47220*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4533131*c**4*g**3 + 1904203*g**3 wrt c?\nAnswer: -18132524*c**3*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1411, 1348, 1269, 1174, 1063, 936, 793?\n\"Answer: -8*j**2 - 39*j + 1458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 56431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1189143420 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22837743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 113 (base 4) in base 10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*r - 69*r = 96 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1398*k**3 - 2*k - 721*k**3 + 2*k.\nAnswer: 677*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 AM and 1:13 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 66 and 126?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = -3*j - 8, -6*j - 8 = 3*s - j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -160 = -8*w + 4*f, 197*f = 200*f + 6 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*c**4 - 2*c**4 - 2*c**4 + (0 + 0 + 2*c**2)*(-c**2 + c**2 + 3*c**2) in the form a*c + z*c**4 + g*c**3 + y*c**2 + q and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11011 + -101001?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*(z\/(z*(z*z*z**(-2))\/z)*z)\/z)**43)**(-16\/7))**(-8) assuming z is positive.\nAnswer: z**(11008\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -21*(-3 - (-42)\/18). Suppose 3*q - 5*g - 1 - m = 0, 0 = 3*g. Sort 0, -17, q in decreasing order.\nAnswer: q, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -5 + (-2 + (sqrt(363) + 0 - sqrt(363)))**2 + (sqrt(1344)*-3 + sqrt(21))\/sqrt(7).\nAnswer: -23*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - j**4 - 4 + 3*j**4 + (0*j**2 - 6*j**2 + 4*j**2)*(6 - 9 + 1 + 9*j**2) to the form x*j + p + v*j**3 + s*j**2 + r*j**4 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p**3 - 20971341*p**2 - 20971342*p = 0. Calculate p.\nAnswer: -1, 0, 20971342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 145\/20 - (-65)\/(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from rrddodrrno?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 3*b - 9. Let n be d(6). What is the tens digit of (-2)\/n - 1967\/(-63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 548 + -543.02. Let p = v - 4.98000136. What is p rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16461*n + 16461*n + 3*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1184 and 5927968?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8452 + 553. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4930750 and -0.4?\nAnswer: -1972300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 4*m = -2*q + 31, 5*m = -3*q + 120. What is the highest common divisor of m and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 + 16*a**2 + 16*a + 16. Let b be m(-15). Solve 0 = -2*s + b - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*n*v**2 - 2*n - 697*v**3 + 1076 wrt v?\nAnswer: -4*n*v - 2091*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 2*l = 3*l - 29990, 5*c = -4*l + 37504. What is the thousands digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 358 divide 3083493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -2*p**3 - 14*p**2 + 2*p + 23. What is a(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19890 + 48353. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2 + 2*f - 2. Suppose 0 = 19*s + 46 - 8. Let z(i) = 6*i**2 + 11*i - 11. Let c(d) = s*z(d) + 11*x(d). Let p(t) = 56*t**2. Calculate c(p(w)).\nAnswer: -3136*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 97*o + 46. Let h be u(2). What is the greatest common factor of 24 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = -n - 2*i + 60, -5*n - 5*i + 285 = 0. Let c = -43 + n. Suppose p = 5*l + 62, -5*p = -l - 344 - 38. What is the highest common divisor of c and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*(-2)\/(-56)*4\/(-3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-1\/8)*s\/(s**(-2\/15)*s)*(s**0)**12*(s*((s**(2\/9)*s)\/s)\/s*s)\/s**(6\/11)*s*s**6*s**(1\/13) assuming s is positive.\nAnswer: s**(399589\/51480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 16*u - 3. Let v(l) = 48*l - 10. Calculate 3*v(s) - 10*x(s).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 661 (base 7) to base 16\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 1 + (1 - 0 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 12 = 5*v, 6*v - 11*v - b = 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence su when two letters picked without replacement from {u: 5, s: 7}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 43836.1 + -33.\nAnswer: 43803.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*3*(-6*(sqrt(1584) + 2) + 4 + 1*sqrt(11)*6)*4 + 1.\nAnswer: -3960*sqrt(11) - 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -11*b + 59 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 18 = -0*r + 5*r, -5*m + r + 6 = 0. Let x(c) = 42*c + 5. Let j(v) = -168*v - 19. Let k(h) = m*j(h) + 9*x(h). Is k(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 12 = -4*o, 187*i + 18*o = 191*i - 44 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*u**3 + 2 - 2 + (-2*u - 4*u + 4*u)*(-2*u**2 + 0*u**2 + u**2) + u - u**3 - u + (1 + 2*u**2 - 1)*(3*u + 2*u + 0*u)*(-4 - 6 - 2).\nAnswer: -115*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r**2\/3 + 42292*r\/3 + 1953896\/3 = 0 for r.\nAnswer: -46, 10619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6912\/1080*(44\/(-16) - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 184, 201, 232, 277, 336, 409?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -98 + 65. Let p = i - -112. Suppose 0 = -q - 2*q - 15, 3*t - p = -4*q. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*f + 3 - 3.\nAnswer: 64*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of a**4\/4 + 4*a**3 - 30*a**2 + 48*a. Let c(j) = 0. What is j?\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3*(3 - 6) - 2. Let j = 158 - -227. Suppose p - j = -4*p. Calculate the greatest common divisor of p and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23503650, 47007312, 70510972, 94014630, 117518286, 141021940, 164525592?\nAnswer: 188029242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 532, 1065, 1586, 2089, 2568, 3017, 3430?\n\"Answer: -u**3 + 540*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fhf when three letters picked without replacement from mfshsfmssym?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*h**3 + 5*h**2 + 21*h**3 - 27*h**3 - 2*h**5 wrt h.\nAnswer: -120*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -5*f**4 + 106560*f**3 - 567538515*f**2 - 2271539540*f - 1703894460 = 0.\nAnswer: -3, -1, 10658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3153139 is divided by 57.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -88, -104, -120, -136, -152?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, i: 1, f: 2, n: 1, k: 2}. Give prob of sequence nif.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -17 + 41. What is the greatest common factor of 72 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -21, 23, -4, 21 in descending order.\nAnswer: 23, 21, -4, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 119*x - 134*x + 3705. Let t = 20 + 136. Let u = x - t. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1248173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2410045351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 + -2 - 554)*(-454)\/8626?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 2*b + f = -359, 5*b = 2*f + 448. Let j be ((-4)\/10)\/1 - (-1206)\/b. Suppose r = -3*r + 52. Calculate the highest common factor of r and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -15*z**2 + 733*z - 4415. Give u(42).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 259, 294, 315, 316, 291, 234, 139, 0?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -76936 and 0.00365?\nAnswer: 76936.00365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5*(-6)\/5)\/((-1822)\/911)*33.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 less than 460756325?\nAnswer: 460756324.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64*c - 39*c + 10*c.\nAnswer: -93*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 - 12*h**2 - 12*h - 15. Determine y(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v + 28. What are the prime factors of n(-6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20 + -218\/11. Let y = 15\/4 - 4. Which is the closest to y?  (a) 2  (b) s  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0\/((-1 + 5)*(-1)\/(-2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 516089863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2. Suppose 0*p - 41 = -5*p - 2*s, 2*p - 20 = -2*s. Let x(r) = r + 7. Let m(o) = p*w(o) + 2*x(o). Let t(k) = 6*k. Determine m(t(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p**2\/13 + 30558*p\/13 - 115403608\/13 = 0. Calculate p.\nAnswer: 6827, 8452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -5*l. Let s(j) = -j**2 - 23*j + 140. Let y be s(5). Suppose -158 = -4*v + 18. Suppose y = -v*w + 40*w - 28. Let q(f) = -3*f. What is w*q(d) + 4*x(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjnaw. What is prob of sequence wn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mit when three letters picked without replacement from tjutmit.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -104, -201, -296, -389, -480, -569?\n\"Answer: h**2 - 100*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11010 - 1111001000100000111001?\nAnswer: -1111001000100001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1540, -3075, -4608, -6139, -7668, -9195, -10720?\n\"Answer: r**2 - 1538*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -458 - -458. Suppose z = -k - 5*s + 12819, -38435 = -3*k - 0*k - 4*s. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18 + 18.3. Let p = -9 - -7. Let q = p + 0. Sort q, f, 0.4 in decreasing order.\nAnswer: 0.4, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(0 + -12)*(-9)\/(-6). Which is the fourth biggest value?  (a) -1\/5  (b) -3  (c) j  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 76 = -16. Let f be 8 + (0 - (1 - -1)). Solve -f*b = -b + s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from biiiiiiiibiibb. Give prob of sequence bii.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 123533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = -25, 14*l - 11*l = -4*j + 23 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3844 + -3913. Which is greater: n or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 7 + 18 + -5 + 24 + -20.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7896251 is divided by 1974060.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -309\/5 + 62. Which is the smallest value?  (a) -3\/4  (b) 2\/5  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of v**3\/6 + 3*v**2 - 3*v. Let z be t(-3). Suppose 0 = x - z*x + 154. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 3*v + 24, 9*w = 4*w - 4*v + 25. Let m = -1 + w. Let q be 0 - (-4)\/m*6. Solve -5*z + 14 = p - 2*z, q*p - 12 = z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 47*l. Let x(h) = -3*h + 2. Let u(b) = -19*b + 14. Let m(r) = 3*u(r) - 21*x(r). What is g(m(o))?\nAnswer: 282*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 9 and -20.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 983506 is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 92 - 90. What is the third derivative of -m**b - 35*m**3 + m**2 + 25*m**2 wrt m?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.1696 - -223.5396. Round h to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -4*u + 3*u + 2205 - 4623 - u + 2326. Let w(p) = -6*p. Determine w(z(n)).\nAnswer: 12*n + 552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4a0 + -126?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (2\/2)\/(((-81)\/(-1215))\/((-57)\/95))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:30 AM and 1:55 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91452 is divided by 222.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -36294*-0.42\nAnswer: 15243.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in twenty-one quarters of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 183*w - 10242. Determine l(56).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 123 + -112. Suppose b = -s*b. Let y be -1*(-3 + (-6 - -2 - b)). What is the greatest common factor of y and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -6, 5 in increasing order.\nAnswer: -6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.183  (b) 5  (c) -1  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 159*r + 15 + 9 - 25.\nAnswer: 159*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pu when two letters picked without replacement from bpu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n. Suppose -g + 2*g - 1 = 0. Let a(v) = -2*v**2 - 4*v - 1. Suppose -3*j + 3*i - 8*i = -19, -3*j = 2*i - 4. Calculate g*a(o) + j*q(o).\nAnswer: -2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -35\/4, -2, 14, -1\/14 in increasing order.\nAnswer: -35\/4, -2, -1, -1\/14, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -3*d**4 + 7*d**3 + 8*d**2 - 7. Let l(p) = -p**4 + 4*p**3 + 4*p**2 - 4. Let y(x) = -4*k(x) + 7*l(x). Find the third derivative of y(t) wrt t.\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**3 - 4*k**3 - 10*k - 14*k**2 - k**2.\nAnswer: -5*k*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (183*g**2 - 232*g**2 + 127*g**2)*(1 - 3 + 3)*(35*g - 252 + 252)*(-3 + 3 + g) to l*g + u*g**2 + r + y*g**3 + m*g**4 and give m.\nAnswer: 2730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (17 - (22 + -21)) + (1 - (-1 - -8))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 - -21. Let i = -9 + n. Put i, 0, -5 in decreasing order.\nAnswer: i, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.268 + 828.268. Let r = v + -818.97. Let u = r + -8. Round u to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/(t*(t\/(t**2*t)*t*t)\/t)*(t*t**2)\/t*t\/t**(2\/3)*t\/t**(-2\/9)*t*t*t*((t\/t**(-1\/5))\/t*t*t\/t**(-2\/7))\/((t\/t**(-2\/9))\/t*t**3*t*t) assuming t is positive.\nAnswer: t**(506\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2986*c + 836*c = -37187 + 62404 + 60783 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of -a**8\/1344 - a**7\/420 + a**6\/240 + a**5\/60 - a**4\/96 - a**3\/12 + 2*a**2. Solve y(h) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 5 - 4)*(3*z + 2*z - 2*z)*(0*z + 3*z - z)*(-5 - 38 - 11).\nAnswer: -324*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 89.34143km in nanometers?\nAnswer: 89341430000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 173 (base 14) to base 4\nAnswer: 10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 11122653*k*p + 35*k + 226017 wrt p?\nAnswer: 11122653*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 532, 448, 222, -218, -944, -2028, -3542?\nAnswer: -5558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 45932629?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -1. Let h be 1\/w + 18\/12. Suppose 5*p = h + 229. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the third derivative of 82*z**5\/15 + 23*z**4\/24 + 107*z**3\/6 - 58*z**2. Is l(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + 13 - (-1935)\/(-129). Let c be (-2)\/(-20) - q\/6. Solve 0 + 0*t - c*t**2 - 3\/5*t**3 = 0 for t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 - 7*g**2 - 8*g - 7. Let a be z(-6). Let y(u) = u**3 + 6*u**2 - 8*u - 6. Let j be y(-7). Put 0, j, a in ascending order.\nAnswer: 0, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s**2 + s**3 + 2*s**2)*((-8*s - 25*s - s)*(-2*s - 2*s + 6*s) - 15*s**2 - 15*s**2 - 14*s**2).\nAnswer: -112*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 t when three letters picked without replacement from cxcxxtcxcxccci?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.07 - 6.83. Let g = -8 - d. Let k = 2 + -3. Which is the nearest to 2\/15?  (a) g  (b) -5  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 12\/24*-1*2*1. Let i(o) = -7*o + 3. Let h(a) = -a. Let f(j) = s*i(j) - h(j). What is the first derivative of f(l) wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -8. Suppose -10 = -l*n + 7*n + 2*o, n + 2*o = -2. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 68 = -a. Calculate the remainder when a is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 930, 1975, 3664, 5955, 8806?\nAnswer: 12175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**2 - 46*w - 143. Let u be s(49). Suppose -j = -l + 30, u*j - 27 = -5*l + 123. What is the greatest common factor of l and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*x - 3. Suppose -4*k - 2*t = -t - 20, 4*k - 5*t = -x. Solve k = -d + 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-1))\/(m*m\/m**6)*m**(-2\/9)\/m**(-1\/4) assuming m is positive.\nAnswer: m**(217\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2 + 43043*f + 516337. What is x(-12)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = 4*o + 14, -3*o + o = -5*v + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -89, 2031 in decreasing order.\nAnswer: 2031, -1, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1133*t - 5*v - 92 = 1129*t - v, 131 = t - 5*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -37070759*h**3 + 70068479*h wrt h?\nAnswer: -222424554*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**2 - 15*v + 4. Let k be d(-15). Suppose -k*a = -x + 12, 44*a = x + 42*a - 8. Solve 24 = q + 5*h, x*h - 8 = -3*q + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 3*m**3 + 3*m**2 - 2*m + 7. Let h be y(-3). Let q = h + 62. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -4*l**2 + 0*l**2 - 5 + 14*l - 9*l. Let a(q) = q**2 + 1. Let k = -16 - -17. Let u(f) = k*p(f) + 5*a(f). Find the second derivative of u(o) wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 7 - 21 - 120*q + 18*q**2 - 122*q + 385*q - 130*q + q**3. What is s(-17)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0161 * -0.3679.\nAnswer: 0.00592319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.12 + 14689.\nAnswer: 14690.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/(-3))\/(20\/(-120)). Let x be (-1)\/(-1 - (-4)\/6). Solve x*o - o = c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 - f + 1. Let q(g) = -2*g + 2. Let w(d) = -2*l(d) + q(d). Let v(r) = 5*r + 4*r + 3*r. What is w(v(z))?\nAnswer: 288*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3065938987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 + 9*b**2 - 4*b - 11. Give r(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 8*l + 1. Suppose -15 = -5*p, -3*p + 23 = -2*r - 0. Let o(m) = 15*m + 2. Let h(n) = r*g(n) + 4*o(n). Does 9 divide h(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 123*a**3 + 30*a - 124*a**3 - a**2 - 4 - 29*a. Suppose 26*f - 21*f = 0. Give d(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*r - 9. Find the second derivative of -y - 3*y**2 - r*y + 3*y wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65708 is divided by 21899?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 122508*t**3 - 61251*t**3 - 61255*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 21 = 4*j, -642*j = -3*z - 643*j - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -213663 (base 10) in base 16?\nAnswer: -3429f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-18)\/27*((-1)\/2 - -2). Which is bigger: 2\/47 or k?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 106, 858, 2902, 6886, 13458, 23266, 36958, 55182?\nAnswer: 78586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 57*m**3 - 35*m**3 - 24*m**3 - m. Let s(l) = -10*l**3 - 22*l**2 - 124*l + 2. Let y(k) = -6*q(k) + s(k). What is the second derivative of y(n) wrt n?\nAnswer: 12*n - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11801882 to the power of 1\/2, to the nearest integer?\nAnswer: 3435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*z - 57*z - 188*z - 38*z - 50*z)*(-6*z**2 + 2*z**2 + 5*z**2).\nAnswer: -343*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 3\/11, 2933\/4, 0.5?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 3 = 4*s, -2*s = -v + 2*s + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -89 (base 12) to base 5\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 1425*p - 3 + 457*p - 2146*p + 302*p as q + d*p and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - h + 24. Suppose -3*a + 6*a - h = 0. Suppose 0 = -l + 5*l - j - 61, -50 = -5*l - a*j. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 187\/1770 and -53\/54.\nAnswer: 15930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16\/7*w - 2\/7*w**2 + 78.\nAnswer: -2*(w - 13)*(w + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes after 4:03 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 + 8*w**2 + 3*w - 11. Calculate the remainder when 219 is divided by m(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 24*i + 275. Determine p(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6363 is divided by 863?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -1917*l**3 - 8*l**2 + 9*l - 5. Let v be a(4). Let f = v + 79385. What is f rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (11 + 10 - 10)*(-1 - 3*c + 1) in the form o + k*c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 170.1161217s?\nAnswer: 0.00028127665625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 42\/10 - 108\/(-135). Let h be k*((-16)\/10 - -1). Let o be 6 - (h + 0\/(-4)). Solve -1 = -2*p + o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 + 8. Let j = b + -3. Suppose -5*w + 4 = -j. Calculate the remainder when 2 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -48930285 < -48930280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(68)*5.\nAnswer: 1 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 18*a. Let c(d) be the first derivative of -2*d**2 - 28. Calculate r(c(k)).\nAnswer: -72*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the third derivative of -z**6\/120 + z**5\/5 + z**4\/24 - 13*z**3\/6 + 5*z**2. Let b be l(12). Let x = b + 56. What are the prime factors of x?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.3 + -5. Let v = 1.8 + n. Let f = -92 + 95. Which is the third smallest value?  (a) v  (b) f  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8313, -9093, -9871, -10647, -11421, -12193, -12963?\nAnswer: -13731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 187 - 1888 = -144*t + 459 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 997665 and 1529753?\nAnswer: 22946295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -5*i - 8. Let z be h(-4). Suppose d - z = -2*d. What is the third derivative of c**2 - c**d + 6*c**2 + 2*c**2 wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0117527 rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of o**3 + 3*o**2 - 8*o - 33. Let h be y(-8). Suppose -2*i = -78 - h. What are the prime factors of i?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the second derivative of o**5\/60 + o**4\/36 - o**3\/18 - o**2\/6 - 6*o. Factor s(t).\nAnswer: (t - 1)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 1 - 1)*(5*g - 3*g - 3*g).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 866.1533ng?\nAnswer: 0.0000000000008661533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(3) - sqrt(15)\/sqrt(5))*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 208 - 103. Is 40 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, p: 1, u: 1, b: 1, i: 1, q: 2}. Give prob of picking 1 q and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-26)\/143 - 53898\/11. Round k to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -173.95 - -175.95. Let m = 82\/5 - 84\/5. Let t = 5.02 + -0.02. What is the third smallest value in -0.1, m, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -16701, -67783, -153253, -273117, -427381, -616051?\n\"Answer: -g**3 - 17188*g**2 + 489*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 142 - -24?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 58 and 2124?\nAnswer: 61596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 11*n**2 + 2*n + 6. What is the units digit of j(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -2 - 2 + 3 - 5*o**2. Let l(q) = -q + 6. Let c be l(5). Suppose 4 = 4*u - 2*v - 2*v, -2*v = -5*u - c. Determine s(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 390 - 214. Let j(y) = 37 + y - n*y**3 + 177*y**3 + 0*y. Is j(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -4*q + 3. Let i(w) = -4*w + 2. Determine -4*i(p) + 5*s(p).\nAnswer: -4*p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26341.374 nanoseconds to minutes.\nAnswer: 0.0000004390229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -412 - -429.1. Let p = -17 + s. Let j = 0 - 6. Which is the third biggest value?  (a) -2  (b) p  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94*w - 90*w + 3*q - 5068 = 0, -3*q = 24. Solve 9*i + 1318 - w = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tq when two letters picked without replacement from tfqqmdmxx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 + -16 - (-3 - (-3 + 5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*t + 8*t. Let f(r) = r + 8. Let m be f(-6). Solve t = -m*n - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*(l\/l**(8\/7))\/l*l\/(l\/(l**(-4\/7)*l))*l)**(-13\/2)*(l*l*l*(l**(-1)\/l)\/l)**(-2\/13)*((l\/(l\/((l*l**2)\/l)*l*l))\/l)**(-13) assuming l is positive.\nAnswer: l**(65\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.2119 + -0.3119. Which is the second biggest value?  (a) 0.6  (b) -3  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = -7*c + 5*c - 6, 9 = f - 3*c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12940*j**4 - 45776.\nAnswer: 51760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -35*h + 50 + 7\/5*h**3 - 1\/5*h**4 + 3*h**2.\nAnswer: -(h - 5)**2*(h - 2)*(h + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -469 = 32*c - 33*c. Round c to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -19 + 54 + -55 - 12.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -85 + 83 - (-1 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3145502 (base 7) in base 11?\nAnswer: 240545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 148*b - 7*b**5 - 16 + 410*b**4 - 732*b**4 + 56*b**5 - 472*b**2 + 613*b**3 = 0.\nAnswer: 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -111723*p - 20445311. What is l(-183)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 + 1 - 7\/(28\/88). Which is smaller: g or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**2 - 4*k + 27. Let c be h(0). Suppose -c - 30 = -3*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -7079, -7149, -7265, -7427, -7635?\n\"Answer: -23*z**2 - z - 7055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 499, 510, 539, 592, 675, 794, 955, 1164?\n\"Answer: k**3 + 3*k**2 - 5*k + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 128\/(-576) - (4\/(-18) + -1). Let u(v) be the third derivative of v**4\/24 + 4*v**3\/3 - v**2. Let o be u(-6). Which is smaller: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -5 and 175.6.\nAnswer: 170.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 1 + 3. Suppose 2*i = 2*a + 32, -4*a + 8*i - 3*i = 68. Let d be ((-222)\/a)\/(s\/(-4)). What is the highest common divisor of d and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3350.83208 from -0.13.\nAnswer: -3350.96208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 335034, 671533, 1008034, 1344537?\nAnswer: 1681042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3359, 13618, 30727, 54692, 85519, 123214, 167783, 219232?\nAnswer: 277567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -150 + 278 + -73 + (7 - ((-3 - 0) + 1)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1)*r*r\/((r*r**(-17))\/r))\/(r**(-3\/7)\/r**(-18)) assuming r is positive.\nAnswer: r**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 198*g - 30 = 183*g. Which is the third smallest value?  (a) g  (b) 8\/13  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*l + 4*g + 8 = 16*l, 0 = -l + g + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*w**5\/7 + 3*w**4 + 75*w**3\/7 - 15*w**2\/7 - 51*w\/7 - 6\/7 = 0. Calculate w.\nAnswer: -1, -1\/8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 7*n**2 - 398*n - 1681. What is h(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1214, -3930, -8466, -14828, -23022, -33054, -44930?\n\"Answer: -j**3 - 904*j**2 + 3*j - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 39*w**2 - 28*w + 49. Is y(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 262  (b) -3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6887862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.4 - -3.8. Let v = 35 - 39. Let q be ((-6)\/(-56)*2)\/(v\/(-7)). Which is the second biggest value?  (a) 1.4  (b) q  (c) g  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:36 AM and 8:37 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 222*u + 1779. Determine j(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 24*c**2 - c + 411. Let f(j) = 11*j**2 + 205. Let r(v) = 7*f(v) - 3*m(v). Let q(l) be the first derivative of r(l). Calculate q(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1080653.\nAnswer: 7, 317, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 2*v**3 - 4*v - 3. Let k be (3\/(-9))\/(4\/24). Let i be x(k). Let r = i - -20. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -7 + 0*t**3 - 23*t + 6*t**3 + 28*t - 2*t**3 - 3*t**2. Suppose -2*j - 3 = -13. Is s(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**2 - 16*h + 10. Let v be m(16). Suppose -2*l + 3*g = -1, -5*g + 13 = 4*l - 0. Calculate the greatest common factor of l and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -21891415*c**4 + 21533920*c**2?\nAnswer: -525393960*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -1\/6  (b) 4  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from {h: 3, p: 7, j: 3}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (64 + 1 - 5 + (1 + 0 + 1)*(1 + 4 - 7) - 1 - 2 + 5)*(2*c - 2*c - c).\nAnswer: -58*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -605, -523, -403, -239, -25, 245?\n\"Answer: u**3 + 13*u**2 + 36*u - 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 304690171901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and -1.768168.\nAnswer: -5.304504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-141)\/(-15) + 126\/(-315)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 981*o - 1172 + 479 = -8894 - 14362 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -199, 190, 1151, 2684, 4789, 7466?\nAnswer: 10715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 61711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2372223605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -32 - -321. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -855552, -3422199, -7699944, -13688787, -21388728?\nAnswer: -30799767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1935530 - 7?\nAnswer: -1935537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 18\/12*(-36 + 0). Let l = 32 + x. Let n = 40 + l. What is the greatest common divisor of 198 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6462 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 2541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + 146 + -2112 + 2048.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 6 = -m. Let l be 11 - 1\/(m\/12). Suppose -5*p - l = 56. Is -13 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 7.89 - -6136218\nAnswer: 6136225.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 535 divide 1494706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 - 2*m**2 - 4*m + 8565. List the prime factors of i(0).\nAnswer: 3, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*z + 29*z - 6555 = 7*z. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.153 - 0.167. Which is the nearest to 2\/7?  (a) 4\/7  (b) w  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 42522 and 14585046.\nAnswer: 14585046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -4.65 * 10453\nAnswer: -48606.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**2 - i + 13. Let m be w(-8). Let o = m + 42. Put o, 5, 53 in increasing order.\nAnswer: o, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 0*o**2 - o**2 + 0*o**2. Let i(x) be the first derivative of x**2 + 514. Calculate y(i(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 26 = -0*h + h, -h + 4*y = -21 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*z**3 - 20045*z**2 - 5025030*z - 1255005 = 0.\nAnswer: -501, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 + 10. Suppose -p = -12 + 8. Let c(r) = 12 + 11 - p - r. Determine c(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of w**7\/1260 + 3*w**5\/40 + 5*w**4\/4 - 10*w. Let j(l) be the third derivative of v(l). List the prime factors of j(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -263830130 less than -263830133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 405*j**3 - 427*j**3 - 1 + 2 + 55*j - 33*j in the form m + w*j**3 + p*j + b*j**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 AM and 6:39 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 + 11*x**2 - 11*x - 14. Let t be l(-12). Let b = -6 - t. What is the highest common divisor of b and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -84, -31, 36, 117, 212, 321, 444?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/521532 and 155\/468?\nAnswer: 6779916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + 2103323213131?\nAnswer: 2103323213123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -3*d**3 - 15*d**2 - 23*d - 20. Let f be n(-6). Suppose -h = 4*x - f, -5*h - 1 = -11. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 = -4*a + 74. Suppose y + y - 28 = 0. What is the remainder when a is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 234 = -10*f. Let g = f + 65. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/120 and 29\/55.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 560733 is divided by 1128.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 times -29118.2?\nAnswer: -17995047.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 - 8*y - 68. Let h be z(13). Put 10, h, 6 in decreasing order.\nAnswer: 10, 6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4981, -9, 4 in decreasing order.\nAnswer: 4, -9, -4981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -a**5 - 9*a**3*q - 5*a**2 - 2*a*q + 30*a - q wrt a?\nAnswer: -20*a**3 - 54*a*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2\/(-8))\/(85\/(-12) + 7). Suppose -4*c - s*m - 1 + 13 = 0, -m = 4*c - 20. Find the first derivative of -16*w**2 + c - 2 + 41*w**2 + 29 wrt w.\nAnswer: 50*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1533 and 7115164?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3860 - 1721. List the prime factors of i.\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - 4. Let f be (0 - 7) + (0 - -2). Put f, x, 5 in decreasing order.\nAnswer: 5, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2 - -1) + 0)*(-340 + 338). Is q not equal to 38\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -63597 - 191.\nAnswer: -63788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from clcobbojrbrborbco. What is prob of picking 1 r and 1 b?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/18 and -41\/15066.\nAnswer: 15066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1964 is divided by 1947.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27232 by 8.\nAnswer: -3404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -385\/6  (b) -6  (c) -0.2  (d) -1\/2  (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4072440*w**3 + 29269940*w wrt w?\nAnswer: -24434640*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7 and -26\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -138 at most as big as -137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 14380000 rounded to the nearest one hundred thousand?\nAnswer: 14400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 6551.381 kilograms in grams?\nAnswer: 6551381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + 4. Let v = 305 - 302. Which is smaller: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2109020027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**2 + 39*p + 1263. Let r be x(-21). Find n, given that -1\/2*n**5 + 108*n**2 + 0 + 9*n**4 + 0*n - 54*n**r = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*v - 102*v - 24*v + 33*v.\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -37 - -15 - (-116 + (10 - -13)) - (-1 - -4)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 320703*g**3 - 641409*g**3 + 320704*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -10*v + 13. Suppose 0 = 4*d - 5*t - v - 5, 5*t = -5*d + 30. Solve -3*l - 3 = -2*y, -5*y - 2*l = -d*l - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10789957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:06 AM and 2:39 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4652 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**3\/17 + 1688*c**2\/17.\nAnswer: -2*c**2*(c - 844)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 70 - 73\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31 (base 5) to base 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 407038, 814426, 1221814?\n\"Answer: 407388*m - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 + -23 + 11 - (12 - (9 - (2 - -4)))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**2 + 8*r - 1. Calculate z(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 167 - 163. What is the closest to 2\/3 in k, 0, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -69141729*v*w + 45362418*w wrt v.\nAnswer: -69141729*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -810827*k + 9379 = -810910*k for k.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 659*m + 26377. Let n = -8 - -31. What is the remainder when n is divided by l(-40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, -37, -74, -111, -148?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4*(2 - 2\/4). Let t = n + -4. Solve 0 = -t*k + 5*k - a - 5, a = -2*k + 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 15718.93083 to the nearest 10.\nAnswer: 15720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 9*m - 4 - 3 + 1 - 4*m + m**2. Let z be -3 + -3 + (-1 - -4). Let s = -3 + z. Calculate h(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 40 = 55. Let l(j) be the third derivative of -8*j**2 - 4\/3*j**n + 0 - 1\/30*j**5 - 1\/40*j**6 + 1\/210*j**7 + 1\/2*j**4 + 0*j. Factor l(y).\nAnswer: (y - 2)**2*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -155, -308, -461, -614, -767?\nAnswer: -920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (455\/(-182))\/((4\/(-4))\/4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*v + v - 4*v)*(-5*v + 2*v + v) + 262894*v**2 - 1280 + 22103*v**2 + 62533*v**2 + 2564 - 1284 in the form k*v + p*v**2 + n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/(-9)*-3)\/(2\/6). Let f(l) = -3*l. Let i(r) = r. Calculate k*f(w) - 5*i(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 516*x**2 - 28*x - 1. Let r be z(1). Are 486 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/4)\/((-25)\/(-300)). Let w be (c\/1)\/(28\/(-42)). Suppose -w*x + 50 = x. Which is greater: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 881524 and -450.\nAnswer: -396685800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 48 and 3096.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2 + 10077*r + 591062.\nAnswer: (r + 59)*(r + 10018)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of 31*a**3\/6 - a**2\/2 + a + 23. Let g(m) = 2*m**2. Calculate g(y(i)).\nAnswer: 1922*i**2 - 124*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(170) - (-4*sqrt(170) + sqrt(170))))\/(sqrt(10) + sqrt(80)\/(sqrt(8)*1) - sqrt(10)).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-13393)\/(-2655) - 10\/225. Solve 0 = 4*j - x*k + 4, 2*j - 3*k + 2 = -0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -142*u + 137*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, k: 2, c: 2, h: 1}. Give prob of sequence hc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 701 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -p + p - 20*p**2 - 4*p**2 to k + b*p + h*p**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the third derivative of -o**6\/120 + o**5\/12 + o**4\/3 - 3*o**3\/2 + 2*o**2. Let m be t(6). Does 9 divide (2 - (-39)\/9)*m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -75\/179648 and -43\/24?\nAnswer: 538944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1424 + -881. List the prime factors of f.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 - 5*c**2 - 6*c - 15. Determine q(7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -59 + 101. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 14*r + 451. Let m(a) = a**3 - 7*a**2 - 7*a - 8. Let o be m(8). Suppose o = 3*g - 20 - 31. Calculate the remainder when w(-30) is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31390 divided by 10\nAnswer: -3139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22)\/11*4\/(-8)*6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -9  (b) -2  (c) 20  (d) 2\/9  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 m when three letters picked without replacement from {m: 1, d: 1, f: 4, j: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/(-189)*-14*(-140)\/168.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3741696 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 146574?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 15*q + 68 = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -109*h*t**2 - 2*h*t + 160*t**2 wrt h.\nAnswer: -109*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a + 2. Let t(h) = 2*h + 4. Let y = 92 + -85. Determine y*p(f) - 4*t(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-47)\/2)\/(1\/(-2))?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oxo when three letters picked without replacement from cxxxxoxooxxxooxxxcx?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2273, 681, -2, -15.\nAnswer: -2273, -15, -2, 681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (51\/136)\/(((-6)\/(-4))\/(-1)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.01  (b) -2\/3  (c) -1\/7  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 + 390\/(-55))\/(0\/47 + (2 - 7)).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand k + 0*k + k**3 - 8*k**3 - 2*k**4 + (0*k**2 + 2*k**3 + 0*k**2)*(2*k + 0*k - 3*k).\nAnswer: -4*k**4 - 7*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 - (3 - (6 + -4 + 4) - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21588 is divided by 21518?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 238 - 79 - 4*m**3 - 80 + 2*m**4 - 76 - 12*m in the form i*m + z*m**4 + b + s*m**2 + q*m**3 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 0 + 4. Suppose 66*m = 106 - 436. Put m, a, 1 in decreasing order.\nAnswer: a, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -j**2*r**2 - 7*j**2 + 18*j*r**3 + j*r - 8*j wrt r.\nAnswer: -2*j**2*r + 54*j*r**2 + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1035 = -7*j + 421. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2854.6 - -2849. What is the nearest to -7 in d, -5, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 17*f - 161. Let r be p(10). Calculate the highest common factor of 180 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 101082516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16468?\nAnswer: 2, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 30388, 60772, 91156, 121540?\n\"Answer: 30384*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of -u**2\/2 + 6593. Let c(t) = 5697*t. Give q(c(s)).\nAnswer: -5697*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0058 + 0.4942. Sort s, -5\/2, 0.4 in descending order.\nAnswer: s, 0.4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 67\/5 of a decade?\nAnswer: 1608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times 58064?\nAnswer: 116128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 (base 12) in base 6?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*5*(sqrt(2)*-1*-5)**2.\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -3*s + 1. Suppose -66 = 3*h - 6*h. Let r be 16\/(-6)*6\/20*25. Let c = h + r. What is o(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 5*v = 40, -4*v = -3*m - 16 - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 480 = -54*w, 21*n - 37*n + 75 = -w - 17*n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 300 and 1938?\nAnswer: 96900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 2*y**2 + 4 - 9.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*d - 189 - 301 = 0. Let r(i) = -i**3 + 8*i**2 + 19*i + 3. Determine r(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*x**2 + 110 + 149 - 2*x**2 + 4*x**2 - 259.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 141*r + 2*r**2 + 303*r + 376*r + (3 - 2 + 1)*(6*r**2 - r**2 - 3*r**2) + r**2 - r**2 - 2*r**2.\nAnswer: 4*r**2 + 820*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 106*t**4 + 2*t**3 + 8916*t**2 - 822*t - 15043 wrt t?\nAnswer: 1272*t**2 + 12*t + 17832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4 + (8 - 5))*-5. Let a(j) = 8*j - 2*j - 4*j + j**3 - 3*j + j**2. Let m be a(2). Solve -20 = 5*s - f*z, 2*s + 3*s + 5*z = m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 242897 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 5 = b - 15, 0 = -3*b - 2*x + 80. Does 3 divide 16\/(-6)*(-63)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6, -1861\/46, -4, -0.3, -1.3, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 - 9.3\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1998747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-42)\/9 - -4)\/(-1). Suppose 4 = c + 3*c. Let o be c\/2 + (-2)\/6. Do o and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80505 divided by 5?\nAnswer: 16101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lqdl. What is prob of picking 1 d and 1 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t. Let v(k) be the first derivative of k**6\/180 - 8*k**3\/3 + 3. Let u(r) be the third derivative of v(r). Determine p(u(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1001101101111101100 (base 2) to base 11.\nAnswer: -1a8285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 - 202*2 - (-30)\/(-6). Let q be (r\/(-17))\/((-4)\/710). What is q rounded to the nearest 100?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 932176?\nAnswer: 2, 7, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + -231705.4.\nAnswer: -231694.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2aa2 (base 11) in base 4?\nAnswer: -332100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + (-10 + -6 - -12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-three fifths of a meter in millimeters?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 + 2 = -12*u. Solve 4*l - 2*y + 6 = 0, 2*l - y - 7 = -u*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -76 - -46. What is the remainder when ((-12)\/j)\/((-1)\/(-15)) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*n + 3*n + n + (-2 + 1 + 3)*(0*n - 2*n - n) + 25 + 5*n - 25.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 836097\/247 + -3385. Are q and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -62731 = 5*r + z - 553895, -5*z - 294704 = -3*r. What is the thousands digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 - -9. Suppose -4*r - 8 = -4*z, u*r - r - 4*z + 18 = 0. Factor -2*t**5 + 0*t**5 - t**2 - r*t**4 + 5*t**4.\nAnswer: -t**2*(t - 1)**2*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40)*1)\/sqrt(5)*3.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-44)\/(-33)*(-66)\/4. What is the tens digit of (-4)\/v - (-1796)\/44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 557310959 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 763*u - 1328 wrt u.\nAnswer: 763","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a. Let m(b) be the third derivative of b**6\/40 + 3*b**4\/4 + 2296*b**2 + 15*b. Suppose 5*u - 120 = 20. Let w = 46 - u. What is w*d(y) + m(y)?\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 4810 = 5*a, -5*a + 3*g + 7872 = 3052. Suppose 3*k - 203 = a. Suppose -6*b + 2*b = -k. Calculate the remainder when b is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.1, -2, -10, -1\/8, 1, 0.2, -3\/584?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -5*f**3 + f**2 - 3*f + 2. Let h be y(2). What is the common denominator of 2\/5 - 209\/h and -71\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 8*x**2 + 8*x + 7. Let q(h) = 1. Determine -g(y) + 6*q(y).\nAnswer: -8*y**2 - 8*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from olouljutjotgjj. Give prob of picking 1 t and 2 l.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - 1010111100?\nAnswer: -1010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.5  (b) -4\/7  (c) -0.1  (d) -8  (e) 0.19  (f) 1  (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16336?\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -158 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -1  (b) -2387  (c) -0.8  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -242 - -102. Let n = 144 + r. Solve -2*v = -t - 3*t + 12, -12 = -n*t - 4*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4045 and 45.\nAnswer: 36405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/7?  (a) -1\/6  (b) -624  (c) 1\/2  (d) -4  (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (4 + -3 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 341051900 to the nearest one million.\nAnswer: 341000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 29 = 4*h, -4*g + h + 14 + 16 = 0. Suppose -2013 - 255 = -81*x. Factor 22 + 24 + 19*q**3 - 6*q**2 + g*q**4 - x*q - 38.\nAnswer: (q - 1)*(q + 2)**2*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-26736)\/32*(-14)\/9*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the second derivative of -j**6\/80 - 33*j**5\/160 - 13*j**4\/16 - j**3 - j - 17. Determine z so that n(z) = 0.\nAnswer: -8, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 + 482*c**2 + 4916*c + 1969. Calculate b(492).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 263, 767, 1531, 2549, 3815, 5323, 7067, 9041?\nAnswer: 11239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3.97 - 0.03. Let c = -1.8 + 1.4. Let l = c - -0.32. What is the second biggest value in -0.2, l, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 291988897 to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 2*f + 12 = c, 2*c - 5*f - 24 = 0. Suppose g - 1 = -r, c*r + 4 = -2*r. Put g, 1, -3 in increasing order.\nAnswer: -3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 4\/6*9 - 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2566.6 times 2\nAnswer: 5133.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*k - 321 + 517 = 3*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**4 - 57*f**3 + 2586*f**2 - 4920*f.\nAnswer: -3*f*(f - 20)*(f - 2)*(f + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -194*x**6 + 123*x**5 - x**2 - 396143*x wrt x.\nAnswer: -23280*x**3 + 7380*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 11) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 0 = -4. Let m(s) be the second derivative of -s**5\/20 + s**4\/6 - s**2\/2 + 2*s. Let x be m(h). Is x bigger than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 606 and 18504765.\nAnswer: 3737962530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25139, 25132, 25115, 25082, 25027?\nAnswer: 24944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*h**2)*(2 - 1 + 0) + (-5 + 5 + 13*h)*(4 - 1 + 0)*(-2 - 2 + 3)*(0*h + 0*h + h).\nAnswer: -41*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 p when three letters picked without replacement from {p: 2, h: 3, v: 4, j: 2, r: 6}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.46659 to two decimal places.\nAnswer: -2.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -204 - -253. Let f = 53 - i. Let h = 46 + -28. What is the smallest common multiple of f and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.759 to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k**3 - k**2 - 58*k + 90. Let c be q(6). Suppose b + 11 = 546. Let p = c + b. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 960, 1918, 2876, 3834?\nAnswer: 4792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = -3*x. Suppose x*h + 14 = 2*h. Let k(w) = -3*w + 9. Let s = -14 - -9. Let q(m) = -4*m + 13. Determine h*k(r) + s*q(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 265 and 39432.\nAnswer: 197160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*-16)\/((-4)\/(-5)*1680\/(-224)).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 11 - (-9)\/(-27)*-21. What is the greatest common divisor of g and 1008?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 + 21 + 22*j + 16*j - 53 + 12.\nAnswer: 38*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -766.8 + 767. Let m = -0.137 - 0.002. Let y = m + w. Round y to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2460749 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 10) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -8*p**2. Let y(w) = 6*w - 9*w**2 + 4*w**2 - 6*w. What is y(j(d))?\nAnswer: -320*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*d - 8*d - 4. Let k be d\/(-26) + 315\/65. Calculate the highest common factor of k and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 194 - (1 + -1) - 1. Suppose -2*s + l = -27. Suppose 34 = -b + s. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(875) - (sqrt(875)*-1 - sqrt(875)))\/((sqrt(56)*-3 - sqrt(56))\/sqrt(8))*4.\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhhhh. Give prob of sequence hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 481525 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 245 and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-33)\/(-121))\/(6\/(-4)). Let n = 115.71 + -91.71. Is n at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -298082, -1192317, -2682710, -4769261, -7451970, -10730837, -14605862?\nAnswer: -19077045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 25.957452124 - -0.042560876. Let z = -26 + h. Round z to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 21, 17790 in increasing order.\nAnswer: 0.1, 21, 17790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 19, -3.\nAnswer: -3, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 + 4*c**2 - 6*c - 3. Let r be d(-5). Let p be 204\/4 + -1 + r. What is the greatest common factor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 199 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6389 or -6386?\nAnswer: -6386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -18162 (base 16) to base 12.\nAnswer: -49116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 2*y**2 + 26*y - 10. Give u(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -93 + 18 + (-11 - (20 + -6 + 10))\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4335\/4 + 1084. Which is bigger: -3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 1 + 0)*(-34*q**4 + 166*q**4 + 29*q**4) + 4*q**4 - 6*q**4 + 3*q**4 to n*q**3 + i*q**4 + s*q + l*q**2 + c and give i.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 3*w - 3 = 0, 3*g - 39 - 18 = 3*w. Suppose -h - 4*h = -n - g, -n - 6 = -2*h. Suppose h*m - 26 = 85. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from luuhhuulllu. Give prob of picking 3 u and 1 h.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*m**4 - 8 + 4*m**2 - 5*m**2 - m**2 + 6 - m**2 in the form g*m**2 + a*m + f*m**3 + s + t*m**4 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4, -41 in decreasing order.\nAnswer: 1, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 5.628038 millimeters?\nAnswer: 5628038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2417*q**3 + 32*q - 32*q - 2375*q**3.\nAnswer: 42*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**4 - r**2 - r. Let m(p) = 51*p**4 - 457*p**2 - 2*p. Let g(c) = 2*k(c) - m(c). Find the third derivative of g(t) wrt t.\nAnswer: -1176*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -11*t**2. Let g(d) = -d**2 - 3*d. Suppose 3*q - 1 = 5. Let m(y) = -2*y. Let w(l) = q*g(l) - 3*m(l). What is w(x(u))?\nAnswer: -242*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(0 + (2 - -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -5*b + 2*s, -3*s + 11 = b - 2. Let o be b\/(-2) + (-4 - -5). Solve -3*l + 23 = o*c + 2*l, 0 = -2*c + 4*l - 22 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes before 7:07 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/10)\/((-2)\/(-10)). Let j be 125\/3 + 8\/(-12). Let f(i) = 40*i + 42*i + j*i - 124*i + 2. Let t(l) = -l + 2. Give r*f(n) + 3*t(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -123*d**3*v**3 + d**3*v**2 + 438*v**3 wrt d?\nAnswer: -369*d**2*v**3 + 3*d**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 812 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.18, -0.04, 3\/11, 0.008, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4190.79 rounded to the nearest one hundred?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-1 + sqrt(832) + 5 - (sqrt(832) - (-4 + (sqrt(832) + -1)**2))) + -5.\nAnswer: -16*sqrt(13) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -582\/77 + 58\/11. Find the common denominator of v and 0 + 651\/63 + (-1 - -1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**7*l\/(l\/(l*l**(-2)*l)))\/(((l**4\/l)\/l)\/l*l*l**(-3)) assuming l is positive.\nAnswer: l**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -690*a - 3448. What is x(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 87931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5646697?\nAnswer: 7, 806671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 5*m**3 - 8*m**3 - m**2 + m**2. Let v(z) = -13*z**3. Let r(w) = -w**2 + 10*w - 3. Let j be r(7). Determine j*d(b) - 4*v(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2796794 or -2796810?\nAnswer: -2796794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -133, -14, -337 in ascending order.\nAnswer: -337, -133, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c - 449 - 163 = 0. Suppose 2*w + o - 114 = 0, 0 = -2*w - 2*o - 2*o + c. Calculate the remainder when w is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -138 + 139. Let z = -0.1 - -0.1. Which is the closest to 0?  (a) 0.5  (b) l  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4726\/3 - -9509\/6. Sort 0.05, w, 1.\nAnswer: 0.05, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 80 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - a = q - 2, 3*q - a = -2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the second derivative of c**7\/105 - c**5\/25 + c**3\/15 + 6*c. Solve x(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 174061665 and 2125944?\nAnswer: 1392493320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 + 37421?\nAnswer: 37414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 796\/(-560) + 69\/(-92) + (-8 - 300\/(-35)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - g = -2 - 8, 0 = -4*c + g - 15. Let u = -454\/7 + 65. Let r = -2.9 + 3. What is the nearest to r in -1\/3, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = d - 9. Let w(v) = v. Let o(j) = -j - 1. Give d*o(y) - w(y).\nAnswer: 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**4 + 13*b - 13*b + (-6*b**2 + 81*b**2 + 15*b**2)*(b**2 + 2*b**2 - 4*b**2).\nAnswer: -91*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyp when three letters picked without replacement from {y: 1, l: 3, p: 2, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 433546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -65 - ((10 + -11 - (-30 + 35)) + 9).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1.21, -0.5, 0.2, 0.27?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 471676 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (-2 - -2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 50568961841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17423, 17468, 17509, 17546?\nAnswer: 17579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 14\/35 - 4\/10. Suppose -3*h + 4*h = v. Suppose -n = 7*d - 3*d - 204, h = -d + 5*n + 51. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -7 + 13c27?\nAnswer: 13c20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the third derivative of -p**4\/8 - 11*p**3\/6 + 47*p**2 - p. Determine g(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1270.573 nanometers in meters?\nAnswer: 0.000001270573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.18555429 < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4*(150\/40 - 3). Let o(f) = 3*f + 74. Let x be o(-24). Solve -5*w - l*y = -28, x*w - 2*y - 7 - 1 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-287 - 3*q + 76 + 5*q)*((-2*q + 0*q + 0*q)*(-2 + 2 - 2*q) + 4*q + q**2 - 4*q + 0*q**2 + 3*q**2 - 5*q**2).\nAnswer: 6*q**3 - 633*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hdh when three letters picked without replacement from {h: 2, e: 1, d: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 243376004?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 112 divide 4252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1350*a + 1729 - 1729)*(-1 - 2 - 3)*(-2 + 2 + 2*a).\nAnswer: 16200*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 91 = -4*b. Let h = b - -6. What is the lowest common multiple of h and 24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6713?\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23 + -42. Let l = -6 + t. Let s = l + 22.2. Round s to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 + a + 147 - 598.\nAnswer: a - 430","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3321\/20 + -166. Let o(z) be the second derivative of 0*z**4 + 0 + 0*z**3 - z + 1\/2*z**2 + j*z**5. Give o(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 251 (base 12) to base 2.\nAnswer: 101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 40.1381018 to 0 decimal places.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*h**3 - 19*h**3 + 5*h**3 + 6*h**3 - 4*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 792\/(-44) + (-35)\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 19, -4, -12, 1999, 4, -7 in increasing order.\nAnswer: -12, -7, -4, 3, 4, 19, 1999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/(-3))\/1 + 14\/6. Sort -3, 4, p, -5 in decreasing order.\nAnswer: 4, p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 94421402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes after 8:26 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-12)\/(-108) + (-1)\/(-9). Let c(k) be the first derivative of 1\/3*k**4 + 7 + 0*k**2 + 8\/15*k**5 + 0*k**3 + o*k**6 + 0*k. Factor c(x).\nAnswer: 4*x**3*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -152288, -152287, -152286, -152285, -152284, -152283?\n\"Answer: m - 152289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17 + -10. Let z = -11 + f. Let d = -1.1 + 0.8. Sort z, d, 4 in decreasing order.\nAnswer: 4, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/11  (b) -12  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 379*b**2\/2 - 3041*b\/2 + 36.\nAnswer: (b - 8)*(379*b - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 163476?\nAnswer: 2, 3, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4252672, 4252842, 4253022, 4253218, 4253436, 4253682, 4253962?\n\"Answer: z**3 - z**2 + 166*z + 4252506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2730685 to the power of 1\/2, to the nearest integer?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 47747 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 244*n = 240*n + 23 + 12, 3*d - 17*n = -130 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -8 divided by 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5264872 is divided by 193.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -20\/529 and 29\/6164.\nAnswer: 141772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1113216\/80 + 5\/(-25).\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1970?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 525 by 175.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**4 - w**5 + 0*w**5 + 8*w**3 - 6*w**3.\nAnswer: -w**3*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 10*g**2 - g + 2. Suppose -59*n + 48*n - 913 = 0. Calculate the remainder when s(2) is divided by n\/(-5) + (-10)\/(-25) + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -825 divided by -275.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -8 - g**2 - 2 + 9*g + 2. Is c(7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**3\/3 + 65*p**2 - 1650*p - 10640\/3.\nAnswer: 5*(p - 19)*(p + 2)*(p + 56)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a = 53 - 44. Solve 2*q - a = 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*c**4*n - c**4 + 354280*c**3*n - 2*c**3 + 3*c**2*n + c*n + 43537 wrt c?\nAnswer: 48*c*n - 24*c + 2125680*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 4*v + 3. Let p = 35751 + -71497\/2. Let a(l) be the first derivative of 4*l + p*l**2 - 18. Calculate -6*a(q) + 7*o(q).\nAnswer: -2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.23172 rounded to 3 decimal places?\nAnswer: 12.232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1786 divided by 1113\nAnswer: -1786\/1113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1110111100110001110 (base 2) to base 13.\nAnswer: -141c84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u + 7. Let r be b(-8). Let x = r + -1. Let q(n) = n - 2. Let h = -42 - -37. Let s(y) = 1. What is h*s(k) + x*q(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 11:58 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 9, a: 7}. What is prob of picking 3 p?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 124 and 2611657?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-12)\/10)\/((-6)\/20). Suppose 0 = k*d - 5*h + 2*h - 39, -5*d = -3*h - 51. Suppose -4*u + 2 = 2*s - d, 4*u + 4 = 0. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44 + 15 + -8 + (-1 + 1 - 7)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the second derivative of g**4\/6 - g**3 + g**2 - 14*g. Calculate the lowest common multiple of (2 - (1 + -2)) + 1 and k(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -199 + 68 = -30*s + 79 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times -43.7?\nAnswer: -43.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 28.12*-19\nAnswer: -534.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (1 - (4 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**2 - 19*w + 4. Suppose -d + 6*b - 4*b = -10, 3*d + 4*b - 30 = 0. Suppose -19 = -d*j + 11*j. Let p be o(j). Let f(g) = -g + 7. What is f(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-2) - (-24 + 1). What is x in -99*x**3 - 3 + v*x**2 + 6 - 15*x + 90*x**3 = 0?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n**(-3)\/n*n**4*n*n*(n\/(n**(-2\/5)\/n))**(8\/17)*(n**(1\/4))**40*n**2\/(n\/n**6) assuming n is positive.\nAnswer: n**(1796\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -122 (base 12) to base 15\nAnswer: -b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8460.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-1260)\/24)\/15*8\/36*27\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t**3 - 816*t + 816*t.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0 and 333281?\nAnswer: 333281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 + (-36)\/(-7) - (-7)\/(-49). Solve 4*w + 14 = n*v, 2*w + 2 = -v - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 57\/8, 97679\/2, -1\/4?\nAnswer: 97679\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -194 + 1092. Let a = o - 488. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11 + 9. Let v be -3 + (f - 38\/(-10)). Which is the second smallest value?  (a) -2  (b) v  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6.2 + -1.2. Let y be 2*11 - 3\/(-18)*0. Let r be (-38)\/y - (4 - (5 - -1)). What is the closest to r in a, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 86464 and 116438.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-4)\/(-112)*(-12)\/(-2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 1:57 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 3*g**3 + 1 - g - 1 - 4*g**3. Let l(x) = x**4 + 4*x**3 + 4*x - 4. Let f(a) = l(a) + 4*r(a). Find the first derivative of f(u) wrt u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30144 divided by 7536?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1150 divided by 46?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eoeeeoeeeo. What is prob of picking 2 e and 2 o?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 100.6088 and -0.06.\nAnswer: 100.5488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 94575 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from efhatat. Give prob of picking 1 f, 1 e, and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-462)\/4*(424\/(-56) + 7) - 14?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*o*r**3 + 4*o*r**2*u + 3*o*u + 2*r**3*u + 15*r**3 wrt r.\nAnswer: -42*o + 12*u + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -112474637, -224949273, -337423909, -449898545, -562373181?\n\"Answer: -112474636*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -673457 divided by 10\nAnswer: -673457\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 151 + -1357\/9. Let j = -6 + 12. Let o(i) = i - 7. Let y be o(j). Which is the third biggest value?  (a) -4  (b) x  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 + 3*g - 16. Let o be q(-6). Let w be 2\/(-8)*(-8)\/9. Which is the nearest to w?  (a) o  (b) -0.4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4751021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 42\/(-10 + 4) + (-4 - 3\/(-3))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -y, -5*y - 4 = -o + 26. Suppose 6*q = q - o*j - 5, 24 = 4*q - 3*j. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 2 = 4*o, -4*u = 4*o. Suppose u*m + 2 = -p, -2*p + 33 - 10 = -5*m. Suppose p*h = -9 + 13. Which is the third biggest value?  (a) -2\/7  (b) 3  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16551 divided by -6\nAnswer: -5517\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(160)\/((3*sqrt(36))\/sqrt(9)))\/(-1*(-5*sqrt(968) - sqrt(968)))*-4.\nAnswer: -2*sqrt(5)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from skeafesl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + s + 5*x - 10 = 0, -4*x = 2*s - 8. Sort 1, s, -3 in ascending order.\nAnswer: -3, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1961367 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -22.6 - -30. Let f = k - 7.7. Let a = -0.55 + 0.65. What is the third smallest value in f, 6, a?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 - 4*g**2 + 4*g + 4. Let x be s(-6). What is the highest common factor of x and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 572788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 3 i when four letters picked without replacement from yoooioiioiiioi.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 782 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 42915793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 4*y**3 + 10*y**2 - 6*y + 3. Let p be d(-3). Put -5, -4, p, -1 in decreasing order.\nAnswer: p, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34042, -34038, -34034, -34030, -34026, -34022?\nAnswer: -34018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -1310*z - 9159. Determine x(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -2192 <= -2191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/13, 4\/3, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -99 - (-4 + -57 - 68)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.287 and 0.3.\nAnswer: -0.0861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/6)\/((-6)\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 11471.685.\nAnswer: 45886.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1269117 is divided by 35253?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(27) - (4 + -1 + sqrt(3)).\nAnswer: -3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -804*o + 174*o - 861*o + 672*o.\nAnswer: -819*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 97259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 7*i**2 - 3*i + 1 + i**2 + i. Let t be r(1). Solve 5*l - 10 = -p, -t + 39 = 4*l - 4*p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 172211770 to the power of 1\/2, to the nearest integer?\nAnswer: 13123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 260 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1000269272 + -1087745352.8. Let f = y + 87476156.79999788. Let h = -76 + f. Round h to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4224*s**4 + 33338*s**3 + 10187889*s**2 - 9*s wrt s?\nAnswer: -101376*s + 200028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 13*36\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of 84*t**2 + 0*t**3 + 0*t + 1\/1050*t**7 + 3\/100*t**5 - 1\/30*t**4 - 1\/100*t**6 + 0. Factor n(v).\nAnswer: v*(v - 4)*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9*-16.5\nAnswer: 148.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2113 + -2109. Solve f - 18 = -3*p - 3*f, 5*p + 2 = b*f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**2 + 7*q + 23. Let d be l(8). Let s(z) = d*z**2 + 11*z**2 + 14*z**2 - 41*z**2. Let x(u) = u**2 - 53*u. Calculate s(x(v)).\nAnswer: -v**4 + 106*v**3 - 2809*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -l - 2*u, -5*l = -7583*u + 7578*u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 + 2*y + 1. Let p be i(-3). Let d = p - -64. Let f = d - 40. Which is the nearest to 1?  (a) 0  (b) f  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4689.4377189 and 0.4?\nAnswer: 4689.0377189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2. Let l(t) = -11*t**2 - t + 1. Calculate l(s) - 2*p(s).\nAnswer: -9*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j + 8. Let n(d) = 818*d - 42. What is -5*h(i) - n(i)?\nAnswer: -813*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.0521 take away 3728658095?\nAnswer: -3728658100.0521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 73404 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 6*w = 72. Let g be (-1)\/((-3)\/w*3). Let l be 5\/g + 2\/2. Are l and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:39 PM and 11:09 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -2.2?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 195361554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-45 - 20) + (-7 + 7 - -5 - 3)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1780204 to the power of 1\/2, to the nearest integer?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/i**1))**(-29))**(4\/15)\/(i\/i**5*i**1*(i**(2\/21)*i)\/i*i**(-2\/11)*i*i) assuming i is positive.\nAnswer: i**(-2559\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2524555)\/(-77) - 12\/28. Suppose 0 = -4*i + x + 362. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8880*g**3 + 2*g**2 + g**2 - 3*g**2.\nAnswer: -8880*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 2, h: 4, j: 1, b: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0017495192 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -99, -202, -307, -414, -523?\n\"Answer: -i**2 - 100*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16c33 (base 13) to base 6.\nAnswer: -534501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.83 - -0.83. What is the smallest value in 5\/2, 8, -1\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + 3e?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 2\/9, 3, -15\/7, 4\/11 in ascending order.\nAnswer: -15\/7, -0.1, 2\/9, 4\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/2)\/(10\/(-20))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 180*w**3 + 167928*w**2 - 856144*w - 645344 = 0.\nAnswer: -938, -2\/3, 86\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -i + 3*i + i + (-1 + 1 + 1)*(5*i - i - 2*i) - i + i + i + 21*i - 38*i + 14 + 19*i as g + x*i and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (141*w - 509*w - 92*w)*(1 + 0 - 4)*(3 - 4 + 3) to t*w + m and give t.\nAnswer: 2760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 2*d + 6, -v = -19*d + 21*d. Suppose 5*n = 5*i + d - 6, -3*n - 4*i = 38. Let u = 0.06 + -4.06. Which is the closest to n?  (a) u  (b) 2  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1191 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/34 and ((-2)\/(-49) - 0)*(-34965)\/(-1620)?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2969229.\nAnswer: 3, 989743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**3 - q**2 - q - 3. Let m = -14 + 14. Determine h(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16.5 - 32.4. Let x = -13.9 - c. What is the second smallest value in 6, -0.09, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 14*m + 3. Give h(-4).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.09 - 60.\nAnswer: -59.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5130 - 5055. What is the greatest common divisor of 3975 and r?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.1 + -3. Let c = m - -0.4. Let o = 0.3 + c. What is the second smallest value in o, 2\/3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 1535*h + 142759. Calculate g(-93).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7144.4 - 7144.429069. Round k to three decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*o**2 + 2*o**2 + 74 - 535 - 115)*(o**2 - 2*o**2 - 12*o**2).\nAnswer: 26*o**4 + 7488*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 429\/110 - 4 - (5\/(-2150) - 0)*63.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 322*s**2 - 57. Let m(h) = 1610*h**2 - 286. Let r(f) = -16*b(f) + 3*m(f). What is the first derivative of r(p) wrt p?\nAnswer: -644*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 674917?\nAnswer: 17, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 2*n**3 - 23*n**2 + 7*n + 48. Let o be r(11). Suppose 4*s + 8 = p + 5*s, o*p - 36 = -3*s. Calculate the greatest common factor of p and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6769538 to the nearest integer?\nAnswer: 2602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 3*t + 24 = 0, -4292*q + t = -4287*q + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6*q**3 - 5685884*q - 24336490 wrt q?\nAnswer: -18*q**2 - 5685884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*f = -25 + 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) -4  (c) 3  (d) -852.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 10:20 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-102*s**2 - 65 - 12*s**2 + 67)*(0 + 14*s - 8 - 16*s) - 3 + s**3 + 3.\nAnswer: 229*s**3 + 912*s**2 - 4*s - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 557111 is divided by 277093?\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 9 + -874797?\nAnswer: -87478a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -309203430*v**2 - 150542591.\nAnswer: -618406860*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1760 + 9*r + 1760.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/5)\/((-31)\/155).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 66 and 61050.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((9 - 44\/2) + 11)*(-391)\/(-136)*12?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 23037, 23058, 23079, 23100, 23121, 23142?\n\"Answer: 21*g + 23016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 12:51 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5 + 2)*(-3*w + 0*w + 6*w + 2 + w - 2 + (0 + 0 - 1)*(-2*w - w + 5*w))*(427*w**3 - 52*w**3 + 490*w**3).\nAnswer: 5190*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-135)\/(-6))\/(4\/8). Suppose -m + 170 = -l. List the prime factors of m.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 77 = -3*m, -47*t + 23 = -44*t + 4*m. Suppose 69 = -t*c - 126. Let o(u) = u**3 + 16*u**2 + 16*u + 5. Give o(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -42.9 and 0.07.\nAnswer: -42.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66*t**3 - 6240*t**2 - 81*t**3 + 3120*t**2 - 4*t + 3115*t**2.\nAnswer: -15*t**3 - 5*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 171.\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nagaaqqiaaaql. What is prob of picking 1 l and 1 i?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -17*t**3 - 3*t**2 - 14*t - 25. Determine j(-2).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.2566 + 0.7434. What is the nearest to m in 0.14, 1\/5, -2\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -820598727 divided by 59?\nAnswer: -13908453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -61, -30, -11, -10, -33, -86, -175?\n\"Answer: -k**3 + 38*k - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 - 171 = -33*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 4*h - 31. Let r(p) = -2*p + 16. Let m(t) = -2*f(t) - 5*r(t). Let l be m(13). Is 13 a factor of (6 - l)*(-1 - 12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 36*n**2 + 7*n + 39. What is the units digit of q(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18215 is divided by 18155.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 10*j**2 - 11*j - 5. Let w(v) = -15*v**2 + 17*v + 8. Determine 8*a(z) + 5*w(z).\nAnswer: 5*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -4 + 9\/(585\/250). Which is the nearest to -2?  (a) 2  (b) t  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 648.4183519 - 680.418355. Let u = -25 - -57. Let q = z + u. Round q to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/2318 and -93\/16?\nAnswer: 18544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of -12 - 14\/5*h**2 - 17\/5*h**3 - 7\/20*h**4 + 4\/5*h**5 - 4\/5*h. Find p, given that l(p) = 0.\nAnswer: -1, -2\/5, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 AM and 7:06 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -6. Let x be h\/18 - 526\/18. Let s = -12 - x. Calculate the remainder when s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 21 + -60710?\nAnswer: -60667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 73*q - 3*q**3 - 19*q + 2*q**3.\nAnswer: -q**3 + 54*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*z + 6*z - 5*z)*(2 + 0 + 0)*(-2 + 1 + 2) as s + o*z and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 306714244690 - 46684361754633845\/152208. Let d = 21\/2416 - i. Let y = d - -54\/7. Which is the second smallest value?  (a) -3  (b) -5  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -37*t**3 + 29*t + 73. What is the hundreds digit of r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*n + n. Suppose -5*r - 2 = -3*l, 2*l = n*r - 0*r + 2. Let u(g) = -3*g**r + 7*g**2 - 2*g**2. Let y(k) = k**2. Give y(u(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -134 - -197. Let g = u - 57. Which is the nearest to 0?  (a) 1  (b) g  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-66311)\/(-21) - (35\/(-15) - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 12, -3, -4, 223 in increasing order.\nAnswer: -4, -3, 7, 12, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*q + 4*q - 15*q)*(1 + 2*q + 1 - q) + 0*q**2 + 0*q**2 + q**2.\nAnswer: -20*q**2 - 42*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve x**5 + 6*x**4 + 9*x + 8 + 6 + x**5 - 20*x**2 - 9*x**3 - x**5 - x**3 = 0.\nAnswer: -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3972 - 32*k - 45*k - 3972 - 33*k + 144*k - 35*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = 6995*b - 6994*b - 27, 0 = -8*b - 5*r + 126 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12114.\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.06348297262 to 3 decimal places.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -9\/52, -15, 0.4, 2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence npz when three letters picked without replacement from plzzzeeeeenknelpne?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -95.4 + 95.35. Which is the second smallest value?  (a) -5  (b) -0.03  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1323 - 1288. What is the greatest common divisor of 5215 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -411013, 17, 7 in ascending order.\nAnswer: -411013, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3767468 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**12*x**4)**(-16) assuming x is positive.\nAnswer: x**(-256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 15664201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 + 4*r - 3. Let k be d(3). Let y(i) = i**2 - i + 45. Is y(k) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*l**6 + 383*l**5 - 3*l**2 - 181.\nAnswer: -360*l**3 + 22980*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {o: 2, f: 4, m: 4, k: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*w - 479 + 1429 - 476 - 474.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i + i - 4*i)*(121 - 38 + 236).\nAnswer: -319*i","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -3*g + 29. Suppose 30 = g*d + 4*a, -4*a = -5*d + 3*d - 10. Suppose -5*r - 1 = 3*z, d*z - 4*r + 3*r = 17. Solve -z*c + c + 8 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6495896.66 to the nearest 10000.\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 + 6*m**2. Let t(u) = -5*u**3 - 114*u**2 - 233*u. Let j(o) = 6*l(o) + t(o). What is the second derivative of j(d) wrt d?\nAnswer: 6*d - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i**2 - 23*i - 10. Give w(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffbbbbfffb. Give prob of picking 2 f and 1 b.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 292*m**2 - 268*m**2 + 507*m**2 as s*m + q + x*m**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 138 and 15525?\nAnswer: 31050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 3*h**2 - 2*h - 4*h**2 + 2*h. Let k(a) = -5*a**2. Give k(q(d)).\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 - -4534010302?\nAnswer: 4534010305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**17\/y*y**(2\/3))\/(y**18*y*y**(-2\/31)) assuming y is positive.\nAnswer: y**(-211\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 minus 0.0363626?\nAnswer: -9.0363626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -73 - f**3 + 106*f**3 - 14*f**3 - 11*f**3 wrt f.\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 148\/23 - 615\/92. Let g = -0.03 - 4.97. What is the second smallest value in -18, t, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -22.26  (b) -0.03  (c) 101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -2*y - 16, 5*c - 3*y + 19 - 55 = 0. Let w = 10 - c. Suppose -w*m + 80 = -12. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000317305868 rounded to seven dps?\nAnswer: -0.0003173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-22)*i*i**(-12)\/i*i*(i**(2\/11)*i)\/i**(-41) assuming i is positive.\nAnswer: i**(101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -232 + 2550\/11. Let h = -2 - -1.8. Suppose -3*q = -7*q - 3*y + 6, 2*y - 4 = 2*q. What is the smallest value in k, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 - c + 1. Suppose -2*w + 0 = -4. Let v be n(w). Let i = 10 - v. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 5*c**2 + 7*c + 5. Is t(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5*1 + (-1)\/(-1). Let v(m) = m + 28. Let w be v(-26). Factor u**4 + 0*u**4 + w*u**4 - n*u**4 + 6*u**3.\nAnswer: -3*u**3*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 9:07 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.00039 from 3480762857.\nAnswer: 3480762856.99961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*-4*-4*(-1*sqrt(3584) + sqrt(3584))\/(6*sqrt(32)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 359*x + 385*x - 744*x + 6*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -201 or -200?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 2\/73, 2, -4\/3, -2?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -39421.\nAnswer: 3\/39421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j - 3*a - 45, -6*a + 3*a = -15. Let h be (4\/8 - 2)*j. Suppose -2*x + h + 0 = 0. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -151431124 times -1\nAnswer: 151431124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(-3\/11)*j)\/(j\/(j*j*j\/(j\/((j*j**(-1\/4))\/j)))*j*j))\/(j**(-1\/8)\/(j\/(j\/((j*j*j**(2\/29)*j*j)\/j*j)*j))) assuming j is positive.\nAnswer: j**(10761\/2552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 153 - 57 = 5*s, 101*s + 2*k + 257 - 756 = 1513 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:30 AM and 11:55 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12987 - 12986.6. What is the fourth biggest value in 12, v, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 331118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, i: 6, w: 1, k: 1, s: 3}. Give prob of picking 1 s and 1 i.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -2\/11, -2, -0.1, -225?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -30a327 (base 12) in base 8?\nAnswer: -2724517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5749375 to the nearest integer?\nAnswer: 2398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 6*d - 21. Let c(l) = l - 4. Let h(t) = 3. Let k(n) = 2*c(n) + 3*h(n). What is k(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -358486, -716963, -1075430, -1433881, -1792310?\nAnswer: -2150711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t - 29567 - 862 = 0. Is 31 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 2*r + 3. Let h(q) = -2*q - 2. Let w(y) = 5*a(y) + 4*h(y). Let s be (4 - (-4)\/2) + -12. What is w(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10111001000010111 (base 2) to base 13\nAnswer: 3417c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 727, 700, 673, 646, 619, 592?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.39569 + 0.00431. Which is the closest to 2\/3?  (a) y  (b) 2  (c) 0.075  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 589452801.\nAnswer: 3, 7, 67, 97, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = q. Let f(h) = h**3 + 2*h**2 - 4*h - 1. Let u be f(-3). Suppose q*g - 40 = -u*g. Calculate the lowest common multiple of g and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 66*t + 124. Suppose -110 = -17*j + 60. Let n(a) = -22*a - 41. Let b(f) = j*n(f) + 3*w(f). What is the derivative of b(c) wrt c?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 76\/3267 and 76\/105039?\nAnswer: 3466287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.28 - -0.3115. Round h to 3 dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 2:50 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4071 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 60*d**4 + 502?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -61016 * -0.19.\nAnswer: 11593.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand w - w + w**5 + (4*w**2 - 4*w**2 - w**5)*(-1827 + 4091 - 1415).\nAnswer: -848*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) - 6*(sqrt(17) + -1 + sqrt(17) + sqrt(17)) - sqrt(34)\/sqrt(2)*6)**2 + (sqrt(1377) + -5*sqrt(1377)*2)**2.\nAnswer: -276*sqrt(17) + 120566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i - 4. Give g(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 452325 - -45?\nAnswer: 452414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(3 + (sqrt(2448) - 2*sqrt(2448)*1)) + -4.\nAnswer: -12*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4833 (base 9) in base 8?\nAnswer: -7012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 2*q + 714 = -11*j, -4*j = 5*q + 315. Is -74 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 1525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 589\/4 less than or equal to 148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3*(-3 + 0 + 0). Let h(a) = -6*a**2 - 7*a - 4*a + 11*a**2 - 14 + o*a**2. Let y(x) = -5*x**2 + 4*x + 5. Calculate -3*h(t) - 8*y(t).\nAnswer: -2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aqqaaaqqaaa. What is prob of picking 2 q and 1 a?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 121795*y**5 - 3463*y**2 - 5 wrt y?\nAnswer: 7307700*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (23 + 54 - 53)*(2*z - 5*z + z + (-4 + 4 - 1)*(-2*z + 5*z - 2*z) + z + 5 - 5 + 1 - 2*z - 1) as b*z + s and give b.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 132 = 138. What is the third derivative of -28*r**2 + a*r**2 - 24*r**4 - 37*r**2 wrt r?\nAnswer: -576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -27*h + 14. Is b(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {f: 3, x: 2, c: 5, a: 4, m: 3, b: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2\/17  (b) 34  (c) 5  (d) -4\/11  (e) 57  (f) 0.45\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 + 4*y + 5. What is f(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26928 and 47736?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 11*y - 30 - 123 + 74 - 6*y. Let d be s(16). Solve 0 = 2*r + 3 - d, -5*f - 6 = r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 2*c + 3. Let s(x) = 7*x + 3. Let g(a) = a - 2. Let f(q) = -2*g(q) + s(q). What is 4*f(r) - 9*z(r)?\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -21 and -5.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the second derivative of -107*f**5\/20 + 32*f**2 + 15*f - 2. Differentiate c(p) wrt p.\nAnswer: -321*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 652 - 331. What are the prime factors of a?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, h: 5, s: 1, t: 1, v: 2, u: 3}. What is prob of sequence huhh?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 3:56 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 38 - 35.3. Let d = k + -0.7. Which is the second smallest value?  (a) -0.2  (b) d  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -273951\/1085 - 522\/155. Let y = x - -257. Factor -2\/7*b**3 - 8\/7*b + y*b**2 + 0.\nAnswer: -2*b*(b - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 AM and 12:36 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (832\/24)\/(-13) + (-148)\/12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1212 divided by -4.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i = -h - 3, 22*i - 3728*h - 12 = -3724*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:17 PM and 11:13 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 1954 divide 2364340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 24*l - 21*l = 18, 4*f = -2*l + 20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -2*s. Let a be p(-1). Let i be (-5)\/(-3) + ((-28)\/(-12) - a). Solve 5*k = -5, 0*l + 2*l + i*k = -10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(33)\/(sqrt(11) + sqrt(1100) + sqrt(1100)*-3 + sqrt(1100) + sqrt(1100)) + 4)*1*-4)**2.\nAnswer: 512*sqrt(3) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13190215 + -4.9954.\nAnswer: 13190210.0046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-5\/7)*x)\/(x*x*(x\/(x**(-15)*x*x*x)*x)\/x))\/(x**(-19)\/(x*(x**19*x*x)\/x)) assuming x is positive.\nAnswer: x**(177\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.1  (b) -6  (c) -13\/3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 68, 131, 194, 257, 320?\n\"Answer: 63*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 8 - 5 - (129 - 138)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -657*d + 594*d + 1764 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 92\/1215 and -14\/235.\nAnswer: 57105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -3*x**4 - 8*x**3 + 16*x**2 + 4*x - 4. Let z = -37 - -41. Let h(t) = -t**4 + t - 1. Let m(o) = z*h(o) - k(o). Factor m(q).\nAnswer: -q**2*(q - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-2)\/k*k)**20*(k*k**(-1\/4))**50 assuming k is positive.\nAnswer: k**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20324*r + 10915*r + 13279*r.\nAnswer: 3870*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 AM and 7:11 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.217 + 0.783. Let w = 0.6 + 0.4. Let b = w - 1. Put k, b, -1\/3 in descending order.\nAnswer: k, b, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2*z**2 - 8*z. Let r be n(-3). Let t be (-1)\/(-2) + r\/4. Which is the closest to -1\/4?  (a) -12  (b) -2  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 188*o**2 + 131*o - 1?\nAnswer: 376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**2 - 11*r + 9. Let s be 2 + -2 - -1*(-2 + 6). Suppose -u + 7 + 33 = s*y, 0 = -2*y + 3*u + 6. Determine j(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 528 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -4*b**2 - 5*b + 4. Let x be u(4). Let k = 49 + x. Let g = k + 67. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16\/7*v**3 + 0 + 36\/7*v - 20*v**2.\nAnswer: -4*v*(v + 9)*(4*v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 149 is divided by 74.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**2 - 8*x + 4. Let s be (-4)\/(-2)*14\/(-4). Calculate the remainder when 41 is divided by l(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**5*d*d\/(d*d**(3\/2))*d*d*d*(d*(d\/d**0)\/d*d)**(-43))**(14\/5) assuming d is positive.\nAnswer: d**(-1099\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 5*p = -3*h - 17, -3*h = -p + 1. Suppose 3*l + p - 19 = 0. Suppose -4*f + l*f + 6 = 0. Sort 2, 3, f in descending order.\nAnswer: 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2*(2 - 0))\/(-2). Let f(t) = 2*t + 3. Let b be f(n). Put -2, b, 5 in descending order.\nAnswer: 5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/3))**(-5\/8)*(j**(4\/11)*j)\/j**(-3) assuming j is positive.\nAnswer: j**(1207\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/4 + 16455*j**2\/4 + 11858043*j\/4 + 2185577461\/4.\nAnswer: (j + 373)**2*(j + 15709)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 11, v: 2}. Give prob of sequence gggg.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 99*g + 10 = 93*g, -37*c + 39*c - 5*g = 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5935, -243, -9?\nAnswer: -243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 493234393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 - 15*h**2 + 34*h - 35. Does 7 divide a(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*g**2 + 45*g**2 - 3*g**2 + 30*g**2 + 553*g**3 + 4*g**2 wrt g?\nAnswer: 3318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -31, -2, 3, -11170, 4 in ascending order.\nAnswer: -11170, -31, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1365\/(-42)*(-12)\/15 and 18?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*o**4 - o**4 + 0*o**4 + (0*o**2 + o**2 + 0*o**2)*(-2*o**2 + 3*o**2 - 2*o**2) to v*o**4 + l*o**3 + r*o**2 + x + q*o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 337453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.20769 * -0.1.\nAnswer: 0.020769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 430265 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122215 is divided by 7188?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -22 - -27. Suppose 35 = 3*g - q*k, -4*k - 11 = g - 0. Which is the closest to -28?  (a) 1\/7  (b) -0.4  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -208454.85*0.4.\nAnswer: -83381.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-219)\/(-1460))\/(5\/(-10))*(-15)\/2\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-42)\/(-77))\/((-52)\/(-22)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1.3, 485, -0.33, -3\/2?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 177371 divided by -604?\nAnswer: -177371\/604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 - (-3)\/6*0. Suppose 3*s = -h + 38, 4*s - n*s - 21 = -5*h. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**3 + 19*j**2 - 59*j - 357. Give h(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -9*c + 41. Let o be k(4). Let j be 680*(22\/o + -4). Calculate the greatest common divisor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes before 8:32 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 158 + -153. Let b be 18\/(-6) - (-4 - o). Is 6332\/b + (-26)\/78 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -3*h - 125. Calculate y(-12).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9975546t to grams.\nAnswer: 997554.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 3:29 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -261*x + 254*x + 7 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 10 + -5 + 5 + (-4 - (-6 - -4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13585 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 0 + 15 = 0, 24 = 4*m + 4*s. Differentiate -4 + 3*l**4 + l**m + 7 - l**3 wrt l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14700 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15\/((-225)\/(-84)) + 27 + -33?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (20 - 17) + -1 + -2. Solve -13*u + 10*u + 9 = f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2803795 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 684141658?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -430 + 458. What is the remainder when v is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -5*s + 28, -4*o + 652*s - 651*s = -4. Solve 0*m**o + 0 + 2\/11*m**4 + 0*m - 2\/11*m**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 22, 35, -3 in decreasing order.\nAnswer: 35, 22, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -3*l + v, -2*l + 3 = -l + v. Let t be l\/(-16) - (-45)\/4. Suppose t*f + 42 = 14*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (16 - (12 + 6)) - 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90 = -s + 16*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 AM and 12:02 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1\/69923851?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2654 times 44359?\nAnswer: -117728786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 27309970 - 0.01?\nAnswer: 27309969.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -8206912.1 rounded to the nearest 10000?\nAnswer: -8210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/36 of a week in minutes?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 608\/374 - (-61138)\/(-48037)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -31*o - 3. Let a be y(-13). Let p = a - 270. Suppose -76 = -2*l + p. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.302?  (a) 6  (b) -0.2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 131, 413, 1061, 2261, 4199?\n\"Answer: 31*f**3 - 3*f**2 + 74*f + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 bigger than 668?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 - -2)\/(-32)*6. Which is the closest to 0.1?  (a) 1  (b) 0.3  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -314568*x**4 - 580627*x wrt x.\nAnswer: -3774816*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 9, h: 10}. What is prob of picking 4 h?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 17441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -15, -806.\nAnswer: -806, -15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12390, 24783, 37182, 49587, 61998, 74415?\nAnswer: 86838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2776, 2479, 1982, 1285, 388, -709?\n\"Answer: -100*d**2 + 3*d + 2873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 105 minus 106985?\nAnswer: -106880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -16638134 + -3?\nAnswer: -16638137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 10 = -4*z + a, -z = 4*a - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2692 - 2681. Solve 65*z - 54*z = q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 4*h - 2*h + 2 = 0, 5*f + 10 = 2*h. Let m = 8 + -5. Put 5, m, f in increasing order.\nAnswer: f, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 8 - 10 = 2*a, -q - 2*a = -6. Let y = -29 - -41. Suppose -4*c - 3*i = -11, -q*c - i - 3*i + y = 0. Solve 4 = 3*r - c*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -96 - -652. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -143\/765 + 154849\/361845. Let s = h - 9\/86. Let o = -5682 + 34175\/6. Find the common denominator of s and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 39*y - 36*y - 9. Suppose -3*l + 5*w + 280 = 0, y*l - 62 = -2*w + 204. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 149719 and 34.\nAnswer: 299438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 35, -0.2, -2, 0.08, -967, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/3 + (-18)\/(-27). What is the tens digit of (x - 4)\/((-9)\/93)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) -12  (c) -1\/5  (d) -20  (e) -3\/5  (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n**3 + n**2 - 1. Let g(a) = 21*a**3 - 11*a**2 - 13*a + 12. Calculate -2*g(m) - 22*x(m).\nAnswer: 2*m**3 + 26*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, g: 1, a: 2, w: 1}. What is prob of sequence waw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -2*r**3 + 28*r**2 + 36*r - 499. Let y be k(14). Solve 140 - 124 = -3*o + b, y*b = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*a + 28*x - 29*x + 14 = 0, a - 7 = -3*x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 3*q = -16. Let x = q + 10. Suppose -x*f + 10 = -4*f. Which is the third biggest value?  (a) -0.1  (b) 0.3  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzztzzzzttzzzzzzzrz. What is prob of sequence trzz?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*q - x - 2*x + 13 = -11*q, -2*x + 84 = -16*q - 3*x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -2*x**2 + 4. Calculate n(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 3.979. Let g = n - -0.021. What is the nearest to 0 in g, -1, -1\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-264)\/(-9)*9\/6. Let w = b - 21. Let u = -16 + w. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2068977467 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -663*o + 2646. Give l(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 205*q**2 + 59654*q - 290. Calculate y(-291).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mk when two letters picked without replacement from {i: 2, r: 1, m: 10, s: 1, z: 2, k: 3}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ab when two letters picked without replacement from {a: 1, b: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 350391419025725.2320439 + -350391399983801. Let p = -19041925 + w. Let y = -0.768 - p. Round y to six dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ln when two letters picked without replacement from {l: 3, n: 1, t: 3, h: 1, f: 4, s: 6}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -20 + 25. Suppose 0*j - q*j = -2605. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j - 1 + 1 - j + 0*j - 12*j + (2 - 4 + 4)*(2*j - j + j) - 3*j + j + 0*j + (-3*j + j + 0*j)*(-1 + 3 + 0))*(32*j + 0*j**2 - 34*j + 5*j**2).\nAnswer: -65*j**3 + 26*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 4*r - 45. Let a(c) = 18*c - 180. Let b(z) = -5*a(z) + 21*h(z). Let m be b(-8). Solve -4*g = -3*j + 32, m*j - 2*j = -5*g - 21 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19755 - 11731. What are the prime factors of y?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -80 + 80.6. What is the second smallest value in -2, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -119*l + 327. Is p(-40) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 350 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/((i*i**(6\/5))\/i)*i**6)**(-2\/13))**(1\/6) assuming i is positive.\nAnswer: i**(-29\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -9405990, -9406007, -9406028, -9406053, -9406082, -9406115, -9406152?\n\"Answer: -2*n**2 - 11*n - 9405977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.3 - -4.2. Let q = 226 + -1586\/7. What is the second biggest value in 3, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2\/11 - 2744*m + 111986880\/11.\nAnswer: 2*(m - 8520)*(m - 6572)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58071876?\nAnswer: 2, 3, 223, 21701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5148, -5151, -5156, -5163, -5172?\nAnswer: -5183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -694*d = -901*d - 207 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6037 + 6036. What is the closest to h in 198, -0.5, 0.4, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16652 + 300097\/18. Let s = -47\/9 + z. What is the common denominator of s and 101\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 17\/2 of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -126693 times 10.1?\nAnswer: -1279599.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 360450 is divided by 119932.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 144263\nAnswer: -288526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c**3\/9 - 10*c**2\/9 - 13*c\/9 + 22\/9 = 0. Calculate c.\nAnswer: -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1da8 - -479?\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -495 = 116*a - 83*a for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u**3 - u**2 - 2*u - 1. Let p be t(-1). Suppose -p*h = -2*d - 14 + 182, -336 = -4*d + h. Let y = d + -31. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -2, -2\/42425, -0.5, -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ln when two letters picked without replacement from {n: 2, q: 8, k: 2, l: 1, v: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7847329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 148347498 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:44 AM and 6:13 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 321271 and 817?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 (base 5) in base 11?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6154 + 4423?\nAnswer: 11577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (45 - 53*z - 45)*(-2*z - 2 + 2 + 0*z - z + 3*z + (0 + 3 - 5)*(0 + 0 + z) - 3*z - z + 2*z)*(-z + z - z) to a*z**2 + s + r*z**3 + u*z and give r.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:32 AM and 11:00 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**2 - 5*c + 6. Let t be r(11). Let o = -47 + t. Let a be (-2)\/(-4) - (-18)\/4. What is the highest common factor of o and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 - (104\/2)\/1. Let s = d - -111. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -276*k**3 - 361*k**2 + 2*k**4 - 106*k**2 - k + 3*k**4 - 7*k**4 wrt k.\nAnswer: -48*k - 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 654 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:29 AM and 9:11 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l**4 + 4*l**4 - 5*l**4 + (-4 + 4 + 2*l)*(-2*l**3 - 2*l**3 + 3*l**3) + 387*l**2 - 387*l**2 + 1885*l**4.\nAnswer: 1882*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 52 - 101\/2. Let q = -6201\/4 + 1551. Factor -q + u*x - 3\/4*x**2.\nAnswer: -3*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93966658?\nAnswer: 2, 5927, 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/10, -0.04, -0.2, -1, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 47616 and 190464.\nAnswer: 190464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of a**6\/120 - a**5\/20 + a**4\/24 - 2*a**2. Suppose -8*y = 707 - 731. Calculate u(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 3*c - 29 = -4*d, 5*c - 25 = 4*d. Suppose 4*k + 7 = -c. Let x = k + 6. Solve -4*s + 8 = -4*q, 0*q + 12 = x*q + 2*s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1152 and 28288?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:50 AM and 3:43 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(-9) + 25\/15. Suppose d - 4*o - 22 = -y*o, 2*d = 3*o + 46. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 251 + -92. Let w(q) = q**2 + 5*q + 6. Let u be w(-4). Is x\/u + 2\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o - 587 = -3*o - n, 15 = -3*n. Let d = o + 150. Solve -6*v - 20 = -d*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 196*d - 151*d - 180. Solve -6 + 18 = d*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/255)\/(1\/17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 8*i - 108. Let m = i + -4. Solve -5*t = -5*q - m, 0 = 3*t + 4*q - 2*q + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-16)\/130)\/(196\/70). Let w = 981\/455 - k. Which is bigger: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 1 - (-7 + 7 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-99 - -105 - (-1 + 1)) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3912 - 1334*y**2 + 4085*y**2 + 3644*y**2 wrt y.\nAnswer: 12790*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000229 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from odnap. Give prob of sequence pa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 7  (b) -3  (c) 3  (d) -0.4  (e) -0.73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*m = 2*k - 37*m - 62, -k + 4*k + 36 = k + 3*k + 3*m for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -577 = -386*m + 18723 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36)\/sqrt(2))**2 + sqrt(162) + (sqrt(162) + sqrt(162) + 0)**2 + sqrt(162) + -1 + (3*sqrt(6))\/sqrt(3) + sqrt(1458).\nAnswer: 48*sqrt(2) + 665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*v - v - 3*v)*(30 - 30 - 4*v)*(9 - 9 + 6*v**2) - 3*v**4 + 11*v**4 + 6*v**4 as l*v**4 + h*v**3 + i*v**2 + j*v + c and give l.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 5 + (2 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*m**3 + m**3 - 4*m**3 + (2*m + 2*m**2 - 2*m)*(m - 24 + 24) - 178*m**3 - 4 + 2*m**2 + 0*m + 179*m**3 + 4*m.\nAnswer: 4*m**3 + 2*m**2 + 4*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -55*l**3 + l**2 + 3*l + 1. Let m be g(-1). Suppose -4*i = 5*q - 93, i + 0*q + q - 24 = 0. What is the greatest common factor of m and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(204) - sqrt(204))*6)\/(5*sqrt(108)) + 4 + -2.\nAnswer: 2*sqrt(17)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -336, 0.005, 3, -0.79 in increasing order.\nAnswer: -336, -0.79, 0.005, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 7926569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1000184278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 2  (c) -1  (d) -90  (e) 3\/7  (f) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 19571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.36 + -0.18. Let a = 18 - 18.12. Let j = x + a. Sort 0.1, -5, j.\nAnswer: -5, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*y**4 + 4*y**4 - 2*y - y**4 - 3*y**3 in the form h*y**4 + n*y**3 + b + w*y + s*y**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, 6, 4, 1, 3 in descending order.\nAnswer: 28, 6, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**2 - 589576*h + 4126836.\nAnswer: 4*(h - 147387)*(h - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31243.\nAnswer: 157, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 35 = -4*p + 9, 4*s - p = 64. Solve 3*r = -0*r - s, 5*f = 5*r + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-16)*20\/(-70)*-7\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14539 is divided by 253?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times -4.3\nAnswer: -1.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 4*z + 20 = 0, -4*h = -h - 2*z + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 55156538561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, -8, -2, -13.03?\nAnswer: -13.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c**2 - 2*c + 0*c**2 - 2*c**2 + 338 - 66*c**3 - c**2 - 335 to z + l*c + s*c**3 + p*c**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y - 3846. Let b(t) = -65*t - 6. Let q(r) = -228*r - 21. Let f(z) = 14*b(z) - 4*q(z). Calculate f(l(n)).\nAnswer: 2*n - 7692","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2.6685744*0.1\nAnswer: -0.26685744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -36, -1, 5, -765 in descending order.\nAnswer: 5, 3, -1, -36, -765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -2*c + 42. Let l be b(5). What is the units digit of l\/(-6)*(-63)\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from aaaaeaaaappaappapa.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 226904791 to the power of 1\/4, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.4+-0.32579\nAnswer: -0.72579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*b - 5869 - 10*b - 6*b + 2*b**2.\nAnswer: 2*b**2 - 3*b - 5869","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 2*s + 10, 0 = 3*s - s + l + 2. Solve h = -s*h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -30, 1, 77 in increasing order.\nAnswer: -30, 1, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -13*k**2 + k. Let j be -1 + -4 + 16 + -12. Determine o(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -20 + 10. Let q = b - -10.00088. What is q rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15972 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 141577405?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 83439180?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -15\/91 or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 3696, 3695, 3694, 3693, 3692, 3691?\n\"Answer: -q + 3697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -6. Let n be 5\/(-40)*58 + 7 - (-3)\/(-84). Which is smaller: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 59935333?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) -0.5  (c) 21780\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 PM and 3:43 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o - 3*o**2 + 0*o**3 - 10*o**3 + 2*o**2)*(-2*o**2 + 3*o**2 - 2*o**2).\nAnswer: 10*o**5 + o**4 + o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 180439190.\nAnswer: 2, 5, 17, 1061407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (60 - 55)*1\/(-13)*5 - -2?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.04806954 + -4.1.\nAnswer: -4.14806954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*x = 44*x - 89*x + 85. Let v(o) be the third derivative of 0*o**3 + 2\/5*o**x + 1\/4*o**4 + 0*o + 4*o**2 + 0. Find the second derivative of v(q) wrt q.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 4, 5\/202, 3\/5, 0.2?\nAnswer: 5\/202","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -614.8 + 538. Let l = 77 + x. What is the nearest to -5 in -0.4, l, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 2*j**2 - 9*j + 5. Determine o(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 + 5*z**2 - z - 1. Suppose 2*m - 2*u = -6, -m + 3*u + 1 = 2. Is y(m) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17409.\nAnswer: 3, 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 8467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y - 5. Let d(s) = -4*s - 182. Let a(p) = -p - 80. Let u(x) = 7*a(x) - 3*d(x). What is 11*q(k) - 4*u(k)?\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 5*p = -67383, -29354 = -2*m + p + 37999. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25058 is divided by 8287?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (74 + -86 - (1 - 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 1422.28362 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2))**(3\/28)*(r**(-12))**(1\/32) assuming r is positive.\nAnswer: r**(-33\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*p**2 + 6*p - p**2 - 6*p.\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3088168*p - 3088160*p - 3088159*p + 9264490*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, t: 1, e: 1, m: 5, k: 3, c: 2}. Give prob of picking 1 k and 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 40*h - 3. Let x(m) = -20*m + 2. What is 3*a(d) + 5*x(d)?\nAnswer: 20*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the third derivative of 47*m**7\/15 - 217*m**4\/6 - 107*m**2. Find the second derivative of g(x) wrt x.\nAnswer: 7896*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cll when three letters picked without replacement from {c: 4, l: 9, r: 1}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 42 = -5*s, 0 = 5*b - b + s + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 141336 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q + 33 = -16. What is the nearest to 0.1 in 0.2, -0.4, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in fifteen quarters of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 4360.61 to the nearest ten.\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/14, 1\/5, 0.0243?\nAnswer: 0.0243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 144751451 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 58298 and 566?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2743916 divided by -2279?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.132966 times 12.8?\nAnswer: -1.7019648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*((-1235)\/(-57) + 2 + (-2)\/3).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*p - 49 = -150 + 53. What is the closest to -1 in -1\/3, p, -0.07, 10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3096.257 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(4 + 3 + sqrt(2048)*3))**2.\nAnswer: 5376*sqrt(2) + 73924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5285053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (832\/(-390))\/(43\/(-430)).\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*t - 322 = 49 + 301 for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2356, -4701, -7024, -9319, -11580, -13801, -15976?\nAnswer: -18099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/((p\/(((p*p*p**(-10)*p)\/p)\/p))\/p))**(-8\/9) assuming p is positive.\nAnswer: p**(64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 454255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 244550420 or 244550421?\nAnswer: 244550420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 5*n + 184 = 10*d, 2*n - 4 = 0. Calculate the remainder when 347 is divided by d.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:43 AM and 8:38 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 470763*f**2 - 1106727*f wrt f?\nAnswer: 941526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.4 or -2408?\nAnswer: -2408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eggg when four letters picked without replacement from {e: 5, g: 11}?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4635 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 6:15 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -233131302 (base 4) in base 2?\nAnswer: -101111011101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.024 + 4.176. Let a = z - 4. Which is smaller: a or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2c8496 (base 14) to base 9.\nAnswer: 2836216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (255\/17*-2*22\/5)\/(-4)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c + 106. Calculate t(0).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(2)*2 + sqrt(2) - sqrt(2))**2 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 38 + -29. Suppose -w*x + 5*x = -272. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 8. What is the greatest common divisor of 77 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/25 + 280568\/850. Let i = p + -258. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -2*s - 6. Let n = -54 - -39. What is the remainder when a(n) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1.216848m?\nAnswer: 1216848000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 z when two letters picked without replacement from zqhzihzhhihhhzqzh.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(117)*1 + sqrt(117)) - sqrt(117))\/sqrt(9) + -2 + (sqrt(13) - sqrt(52)\/sqrt(4)) + -3)**2.\nAnswer: 110*sqrt(13) + 1598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.28284 - -0.29716. Which is the second smallest value?  (a) o  (b) 0  (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 50 = -7. Let i = -7 + u. Suppose -2*q = -t + 2*q - i, -5*q = -5*t. Solve -t*g - 2 = -2*v - 0, -2*v = 2*g + 16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*z + 54 = 54*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 11*l + 16. Let g(r) = -r + 1. Let m(q) = -a(q) - 6*g(q). What is the units digit of m(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/6 and -25\/20477.\nAnswer: 122862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12031.\nAnswer: 53, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(19))*6 + -1.\nAnswer: -1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-3*sqrt(3520)*-2)\/((sqrt(320) - ((sqrt(320) + (1*sqrt(320) - sqrt(320)))*-5 + sqrt(320)))*-3).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-31152)\/(-29205))\/((-2)\/30).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-6)\/18)\/(2\/(-36)). Is 4\/c*-3 - -53 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 8 = 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -49384?\nAnswer: 1\/12346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*g + 13 - 13)*(-2 + g + 2 + (-g + 5*g - 2*g)*(3 + 0 - 2) + 0 - g + 0 + (-2*g - 2*g + 2*g)*(4 - 3 + 0) + 0*g - 5*g + 4*g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88 = 4*l - 0*l. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 - 4\/(8\/(-10)). Suppose p*g = 311 + 119. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8173 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * 292.\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*t + 970 - 1377 = -877 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.02, -2\/3, -1\/2, -5, 1\/123.\nAnswer: -5, -2\/3, -1\/2, -0.02, 1\/123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of 61\/30*k**6 + 3 + 0*k**5 + 6*k**2 - 1\/12*k**4 + 4*k + 0*k**3. Find the third derivative of v(a) wrt a.\nAnswer: 1464*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -44 + 0 + (-103 - 4 - -224)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 321*m**2 - 33*m + 61. List the prime factors of i(2).\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-83)\/(-9) - (-7)\/(252\/(-8)). Suppose 0 = n - v - 1. Calculate the remainder when 59 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 35, 55, 53, 17, -65, -205, -415?\n\"Answer: -2*m**3 + m**2 + 31*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -23) + (-233 - -99) + 87\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12325 and 17.\nAnswer: 12325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**2 + 6*z - 3. Suppose -4*c - j + 29 = 2*j, -25 = -2*c - 5*j. Let t be s(c). Suppose t*p - 124 = -22. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hqqq when four letters picked without replacement from hhhhqhhhhhqqhh.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = 2*l - 163. Suppose -4*o = o - l. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -k + 3*p + 43, -4*p - 76 = -4*k. Suppose -13 + 33 = -5*m, 4*z = -m - 372. Let t = z - -89. Put t, 5, 0, k in ascending order.\nAnswer: t, 0, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 46*t**3 - t**2. Let g be r(1). Let q be 260\/(-6) - (-2)\/6. Let k = g + q. Solve -x - k*m + 0*m = 9, 2*x = -3*m - 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130034 is divided by 2364?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 65703539833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2 - a + 34. Let w = -534 + 525. Let c be 1 - w\/36*-4. Give b(c).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 - 17*t**2 + 16*t + 2. Let v be a(16). Differentiate -7*h**v - 6 - 5*h**2 + 2 - h**2 wrt h.\nAnswer: -26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 260797.\nAnswer: 17, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3053226795?\nAnswer: 3, 5, 83, 109, 149, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*((-20)\/95)\/(-4)*-2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**2 + 5*o + 11. Calculate l(-9).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, -9, 17, -4, 1.\nAnswer: -9, -4, -3, 1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -24, -46, -64, -78, -88?\n\"Answer: 2*v**2 - 28*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - s = -8, 4*c = -4*s + 14 + 10. Put c, -13, -3, -87 in ascending order.\nAnswer: -87, -13, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 582256, 582224, 582166, 582082, 581972, 581836?\n\"Answer: -13*v**2 + 7*v + 582262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**2. Let i = 72 + -5. Suppose -l - 621 = -2*g - 3*g, l - 254 = -2*g. Let b(r) = 66*r + i*r - g*r. Calculate b(o(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 0*k**2 + 0*k**2 + 4*k**2. Let q(n) = -n. Let v(s) = 2*s. Let r(h) = -3*q(h) - 2*v(h). What is b(r(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1015223 and 5.\nAnswer: -5076115","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*c*j*q + 80*c*j + 15*j*q**2 + j*q + j - 5*q**2 - 1 wrt q.\nAnswer: 2*c*j + 30*j*q + j - 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 + -83334034?\nAnswer: -8333402a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1022958*x + 2042682*x - 1019724*x + 2*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 840807 divided by 11?\nAnswer: 76437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(176) + 0 - sqrt(11)) - (2 + sqrt(44)*-4).\nAnswer: -7*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**4)**(2\/43)\/(g*g**(-2\/3))**(-19))**(2\/57) assuming g is positive.\nAnswer: g**(1682\/7353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o. Let j be 7 + (-3 - (-4 + 4)). Let g(h) = 4*h + 3*h - j*h. Give m(g(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2 - 2*j - 1. Let c be (-9)\/(-18) - 9\/6. Let h be (4\/5)\/(c\/(-5)). Calculate g(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 364863944?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/3*u - 6*u**3 - 8\/3*u**5 - 22\/3*u**4 + 0 - 2\/3*u**2.\nAnswer: -2*u*(u + 1)**3*(4*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 3*b + 27959 = 0, -16*s = -13*s - 3*b - 41946. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 - 52\/360*-3. Let t = j + 7\/30. Which is the closest to 2\/5?  (a) 1\/7  (b) 14  (c) 3  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wbabaaawabbabwbaa. Give prob of sequence bbb.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -76 - -86. What is the smallest common multiple of v and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes after 10:22 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 112, 256, 420, 604, 808?\n\"Answer: 10*s**2 + 114*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 7 - n + 12 - 25. What is j(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122865 divided by -372?\nAnswer: -40955\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.1, 1, -3, -119\/2, -4, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 2  (b) 7  (c) 5  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 28a2 + -4?\nAnswer: 289e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 83*j + 35*j - 1.\nAnswer: 118*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, -23, -62, -119, -200, -311?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1611521233 + 0?\nAnswer: 1611521233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 362274757?\nAnswer: 13, 29, 960941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -282*p - 1161 + 2007 + 282*p + 8*p**2 - 846.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from {q: 1, o: 1, p: 16}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**2 - 2*q - 24. Give l(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**5 + 150*f**4 - 9535*f**3 - 159900*f**2 + 5681780*f.\nAnswer: 5*f*(f - 26)**2*(f + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b + b - 560. Suppose -3*l + 173 + b = 0. Suppose i + 4 = 7, 4*u = -3*i - l. Let z(x) = 2*x + 1. Let t(n) = 9*n + 4. Calculate u*z(q) + 6*t(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -6*d - 22*d + 29 - 8*d. Let c be t(-8). Let g = c + -109. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 885149 is divided by 315?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(-1 + sqrt(272)))**2 - (-4 + (sqrt(272)*4 - sqrt(17))))*-3.\nAnswer: -29496 + 909*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 n when three letters picked without replacement from {n: 3, y: 1, d: 1, z: 5, x: 5}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -8606, -5, 3, 20\/41?\nAnswer: 20\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.641527 take away 20865?\nAnswer: -20864.358473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12*((-116)\/(-12) - 10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in w**3\/3 + 2*w**2\/3 - 7*w\/3 + 4\/3 = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes before 3:16 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times -416?\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*a + 240 = 7*a + 15*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(170)*5)\/sqrt(10).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -14*(80\/(-35) + -2). Suppose 2*m - 28 = -2*f + r, 0 = 4*f + m - 188. What is the derivative of 24*l + 36 - f + 23 wrt l?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2 - 2*f**2 - 3*f + 0*f + 3*f - 5*f. Determine u(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**4 - 31*o**3 - 218*o**2 + 448*o + 1536.\nAnswer: -(o - 3)*(o + 2)*(o + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*o**3 - 11*o**3 + 10*o**3)*((4 - 3 + 1)*(0 - 2 + 5) - 1 - 1 + 0)*(-2*o + o + 2*o) in the form j*o**3 + g*o**4 + u*o**2 + z + y*o and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -330 divided by -33\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 4*j**2 - 8*j - 8. Let y be f(-1). Suppose 72 = y*v + 56. Sort v, -4, 3, -3.\nAnswer: -4, -3, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -209*s**3 - 426*s**2 + 156*s - 252*s + 21*s**4 - 100*s**3.\nAnswer: 3*s*(s - 16)*(s + 1)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)*-1*6 - sqrt(104))\/(sqrt(32)\/sqrt(4)*5 - sqrt(8)) + ((sqrt(208) - (-2*sqrt(208) + 2)) + sqrt(208) + 2*sqrt(208)*1)**2.\nAnswer: -391*sqrt(13)\/4 + 7492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11?  (a) -4  (b) 8  (c) -3  (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1044*h**4 - 265.\nAnswer: -4176*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 57 and 1425?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/23 + (-25518064)\/351026?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -41 + 34 + 0*s**4 - 3*s**4 + (-1 + 1 + 2*s)*(18*s**3 - 7*s**2 + 7*s**2).\nAnswer: 33*s**4 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -4*j**4\/7 - 149776*j**3\/7 - 1401903352*j**2\/7 + 2804256048*j\/7 - 1402202916\/7 = 0.\nAnswer: -18723, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 658, 454, 120, -338, -914?\nAnswer: -1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 220658 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -2*z**3 - 1333*z**2 - 1275*z + 478798. Calculate w(-665).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 28822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(3) + (sqrt(243)*1)**2 - sqrt(3)) - 1*(sqrt(9)\/(sqrt(18)\/sqrt(6)) - sqrt(3)).\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -11*a**3 - 16*a**2 + 33*a + 58. Let f(x) = -4*x**3 - 5*x**2 + 11*x + 19. Let p(v) = 3*d(v) - 8*f(v). Let h be p(-9). Solve -h*y = 6 - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -9*i - 211. Let x be r(-25). Which is the nearest to 0.1?  (a) x  (b) -1  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 11  (b) 5  (c) -1\/4  (d) -0.35  (e) 0.5  (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lclllwglff. Give prob of picking 1 l, 2 w, and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -9540000 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1638265 to the power of 1\/2, to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72421 is divided by 60.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 + 11*k**2 - 5*k + 2. Calculate u(10).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 169417, 169415, 169413?\n\"Answer: -2*x + 169419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 15\/8?  (a) -25  (b) 3.87  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*m + 651 = -65*m + 22*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -15*b**3 + 7*b**2 - 5*b - 7. Let a(h) = 8*h**3 - 3*h**2 + 2*h + 3. Give 7*a(y) + 3*x(y).\nAnswer: 11*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 116*q - 5829*q**2 - 129*q + 11577*q**2 - 5766*q**2.\nAnswer: -18*q**2 - 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4 + -2 - (9 - 6). Are -20\/23 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -3*m**2 - 49*m - 13. Let k be p(-16). What is the tens digit of -3 + 342\/1 - k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 + 1)*(1 + u**2 - 3*u**4 - 3*u + 0*u**2 + 2*u).\nAnswer: -9*u**4 + 3*u**2 - 3*u + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 21199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 4901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l**5\/11 - 48*l**4\/11 + 60*l**3\/11 + 48*l**2\/11 - 54*l\/11 = 0. Calculate l.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of 0*i**2 + 4 - 1\/2*i**4 + 2\/3*i**3 + 0*i. Find the third derivative of t(x) wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 9\/2*n**2 + 8 + 1\/2*n**3 + 12*n = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -10*d**3 - 27*d**2 + 44*d + 349. Is r(-24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -181.96 - -182. Sort 3\/7, -5, d, -0.5.\nAnswer: -5, -0.5, d, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 6*c = 8. Suppose 5*d = 5*i - 3 - c, -5*i - 4 = 4*d. Solve i = -4*m - 0*m + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 2 + 4 - 15694*d**2.\nAnswer: -15694*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2, -8\/9, 5?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18547?\nAnswer: 17, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + -5214?\nAnswer: -5216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5783.\nAnswer: 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 35*c**2 + 147*c + 37. Suppose 4*i + y = -17, 1 + 11 = i - 3*y. Let l(a) = 35*a**2 + 146*a + 36. Let r(g) = i*l(g) + 4*o(g). Solve r(k) = 0 for k.\nAnswer: -4, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m**2 - 7*m - 12. Let r be s(5). Let u(t) = -t + 3. Let p be u(5). Let w be (-55)\/(-2) + p\/4. Calculate the highest common divisor of w and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 3 g when four letters picked without replacement from ggggrgrrgggtrgrrg?\nAnswer: 36\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1099, -2193, -3285, -4375, -5463?\nAnswer: -6549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -117*m**3 + 8*m**2 + 85*m - 7. Let f(q) = 115*q**3 - 10*q**2 - 86*q + 8. Let i(w) = -4*f(w) - 5*r(w). What is the second derivative of i(o) wrt o?\nAnswer: 750*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (0 - (-2 + -2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 648171 is divided by 691?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -45  (b) -1\/11  (c) 2  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) 73  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 - 5*y + 19. Let i(j) = j. Let z(v) = -f(v) - 3*i(v). Let b be z(5). Find the second derivative of b*c - 27*c**3 + 58*c**3 - 28*c**3 wrt c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.13 - 5.13. Let z = 6 - 6.16. Let g = z + 0.06. What is the nearest to g in t, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 12.4  (b) 0  (c) 3\/7  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1077.0000509 - 1077. What is t rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 55*j**4 - 1436885*j**3 + 9389878135*j**2 - 67364133255*j + 11937623670 = 0.\nAnswer: 2\/11, 7, 13059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22 - 22. Is h bigger than 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 7 = c - 10, -2 = -2*a + 4*c. Let w(v) = -4*v**3 + v**2 - 7*v + 10. Let i(p) = 3*p**3 - p**2 + 5*p - 7. Give a*i(q) + 5*w(q).\nAnswer: q**3 - 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 0 = 4. Let o be (-11 - -15) + 221 + m. Let z = -77 + o. Round z to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**5*s\/(s*(s*s**(-1\/4))\/s)*s\/(s**(5\/4)*s*s*s)*s**9\/s)**(30\/7) assuming s is positive.\nAnswer: s**(300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17987 - -67158. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 324556\/27706*(-14)\/4?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3420\/(-6555))\/((-14)\/46).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/2 and -57\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13259?\nAnswer: 13259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 207, 850, 1921, 3420, 5347, 7702, 10485?\n\"Answer: 214*w**2 + w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d = 2*i - 5, 6*i = 2*d - 208 + 168 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -7*w**2 - w + 6. Let h(z) = 4*z**2 + 72*z - 1. Let p be h(-18). Let u(d) be the first derivative of -2 + 1\/3*d**3 - d + 0*d**2. Give p*t(v) - 5*u(v).\nAnswer: 2*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qdqq when four letters picked without replacement from {g: 6, q: 7, d: 1}.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(4\/3)*j\/(j**(-2\/39)*j))**(2\/55)\/((j**5*j\/(j*j\/(j*j**(-8))*j)*j)\/(j**1*j\/(j*(j\/j**(-1\/5))\/j*j*j))) assuming j is positive.\nAnswer: j**(1323\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 14 = 2*g, 0 = -g - 2*z - 0 - 5. What is the second derivative of -c**3 + g*c - 3*c + c wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**4\/3 - 8*g**3\/3 - 10*g**2\/3 + 8*g\/3 + 3.\nAnswer: (g - 9)*(g - 1)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/615674 and 34\/2140541.\nAnswer: 184086526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -63 - -80. Suppose -2*n + 5*o + 6 = 0, -2*o - x + 2 = -5*n. What is the second derivative of r**3 - 9*r + 3*r**n + 6*r**3 + 18*r**3 wrt r?\nAnswer: 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 123\/406042 and 81\/12163606.\nAnswer: 279762938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttttttlttltttltllttt. Give prob of sequence ll.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 89, 77, 65, 53?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -98 + 7?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.2383 + 0.0617. Let u = 0.2 + -0.3. Let n = -3 - -6. What is the closest to u in n, g, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6\/17731 - 149441\/17731. What is the common denominator of j and 65\/177?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - -12a5?\nAnswer: 12a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/4 in -0.17, -0.3, -9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 203563363?\nAnswer: 23, 1013, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011010110 + -100001100011001?\nAnswer: -100011111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i. Let l(m) = 30*m. What is l(p) + 6*v(p)?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 11.732 and -0.5?\nAnswer: -5.866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, b: 5, g: 1, d: 13}. Give prob of picking 1 b and 2 d.\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 6, w: 12}. What is prob of picking 4 w?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j - 1. Let g(b) = -9*b - 1. Let z(c) = -g(c) + 6*x(c). Suppose -15*p + 14*p + 5 = 0. Determine z(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**3 + 1235*d**2 + 18345*d - 19575.\nAnswer: -5*(d - 261)*(d - 1)*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 118, 37, -3, 231.\nAnswer: -3, 37, 118, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32151.1*0.4.\nAnswer: 12860.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(-2\/21))\/((c\/c**(-1))\/c)*(c*(c**0*c)\/c)**(-2\/31))**(-30) assuming c is positive.\nAnswer: c**(1040\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + 0 = -12. Suppose 0 = -z*p + 6, -2*f - 2 = -p - 17. Let m be (f\/(-6))\/((-12)\/16). Solve 5*y + 9 = m*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 897 + -901. Sort 10, w, -18 in ascending order.\nAnswer: -18, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, t: 2, n: 8, y: 6}. Give prob of picking 2 a and 1 y.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 152\/15  (b) 0.1  (c) -0.954\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 60?  (a) -3\/4  (b) -0.4  (c) -83103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -677*y**2 - 18*y - 13 wrt y.\nAnswer: -1354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6517.9239 and 3?\nAnswer: 19553.7717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - n**2)*(13*n + 17*n - 5*n) + 2*n**2 - 3*n**2 + 0*n**2 - n**3.\nAnswer: -26*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(684) + 2 + sqrt(684))*3.\nAnswer: 6 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -3  (c) 34  (d) -1\/5  (e) 1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -10075, -29280, -61287, -106096, -163707?\n\"Answer: -6401*y**2 - 2*y - 3672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13548917 is divided by 6774218?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 2*d. Let v(h) = 1693*h - 39. Let a(o) = 847*o - 18. Let k(j) = 13*a(j) - 6*v(j). Give u(k(r)).\nAnswer: 1706*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.294 and -6843?\nAnswer: 2011.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1356019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 105 + 50 = 0. Let y = -35 - -158. Calculate the remainder when y is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5c (base 14) to base 3.\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 2*m**2 - 16*m - 48. Calculate the remainder when 141 is divided by t(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/3 - ((-465)\/345)\/(2\/6)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 451\/548 - 10\/137. Which is the fourth biggest value?  (a) 2  (b) s  (c) -0.06  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes before 7:42 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(2) - (sqrt(2)*1 + sqrt(2) + -1))*1 - (4 + 3 + sqrt(18))*-5)**2.\nAnswer: 800*sqrt(2) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -192*b - 23198. Calculate d(-122).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 35803\/3 + -11935. Let y(v) = v**3 + 3*v**2 - 4*v - 4. Let i be y(-4). Let o be (-4)\/(-1)*(-3)\/i. What is the second smallest value in o, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22 - (-41 + (-20 - -52))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the third derivative of i**5\/20 - i**4\/24 + i**3\/6 + 333*i**2. Let q(r) = -r**2. Calculate -5*q(p) - 2*y(p).\nAnswer: -p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 68*y + 220. Determine d(-2).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 17 + (-30 - 3) + 20. Factor -37\/5*f**3 + 16\/5 + 21*f**2 - 88\/5*f + 4\/5*f**o.\nAnswer: (f - 4)**2*(f - 1)*(4*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14\/7*-4 + (-186)\/(-21) + (-108)\/28\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*r**2 + 3*r**2 + 0*r**2 + 2*r**2 - 2*r**2 - 3*r**2 + (0*r + 3*r - r)*(-4 + r + 4) - 45*r**2 + 12*r**2 - 2*r**2.\nAnswer: -38*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 + 4*t - 7. What is n(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -7896 times -0.2?\nAnswer: 1579.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 31 - 16. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.54 - -0.16. Let k = -4.97 + c. What is k rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1088) - (sqrt(68) + 1 - sqrt(17)))**2.\nAnswer: -14*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from sksksskkxskkss.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 23 = -3*k, 3*k - 781*i = -786*i - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes after 8:55 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1482 (base 15) to base 7\nAnswer: -15551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 10531 and -218.149017.\nAnswer: 10312.850983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n + n - 7*n + (-3*n - 2*n + 4*n)*(-2 + 1 - 2) + 3*n + 0*n - n + n + n - n)*(-43*n - 33*n**2 + 43*n).\nAnswer: -99*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 2*w - 7 = 0, 0 = -6*w + w + 20. Solve -a + 5 = -p, o*a = -2*p - 2*a + 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3214 = 310*y - 115*y - 296 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**2 + 15*b - 16. Let j be p(-17). Let f be (-4 - -11)*j\/14. Let o(t) = -t + 13. Let w be o(f). Solve 4*v = -4*r - 16, w*v + 4*r + 20 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-56) + (-4)\/(-14). Let h = 1.2 + -0.99. Let z = h + -0.01. Which is the second biggest value?  (a) x  (b) z  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 10, 1, 1333.\nAnswer: 1, 4, 10, 1333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 6*p = 8, -338 = -2*v - 5*p. Suppose 5*f + 3*d = 3*f + v, -d = -3*f + 296. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {y: 3, d: 1, i: 1, x: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -11*p**2 - 4*p + 4. Let c be x(-4). Let s = -441 + 284. Is s at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2391.1 - 2387. Sort v, -1\/2, -2.\nAnswer: -2, -1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.11  (b) -3  (c) 0.5  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/((-90)\/260) - -5 - (-12)\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 5*q - 20 = 0, 0 = -4*f - 184183*q + 184184*q + 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 AM and 5:23 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -0.4, 6\/11, 8, -0.09, -0.015?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -3, -2 - 1 = 5*z + i. Let v be (1 - -4*2)\/(12\/32). Solve -s - 1 + 3 = z, v = -4*o + 2*s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 21?  (a) -5  (b) -1\/3  (c) 0.4  (d) -6  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19.00000056 + -19. Round h to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 633*p - 23. Let c(n) = 24*n - 141. Let k be c(6). What are the prime factors of d(k)?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.5  (b) 37\/22  (c) -7\/4  (d) -0.631\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 51859.682 to the nearest 100.\nAnswer: 51900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16515722*i**3*r**2 + 767524*i**2*r**2 wrt i.\nAnswer: 99094332*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 913473693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**3 - 5*j**2 - j - 4. Let g be v(-5). Suppose -24 = -5*y + g. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.058467us in milliseconds?\nAnswer: 0.000058467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 7*a**2 + 3*a - 2. Let x be d(-3). Let r be 2\/11 + x\/(-44). Let c = 328 - 8854\/27. Which is smaller: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o + 12*o - 5*v = 245, -2*v + 90 = 2*o. Calculate the greatest common divisor of 1739 and o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16683 - 16679. What is the closest to d in -88, -2\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o = -3*o - 2*o. Which is the second smallest value?  (a) 0.1  (b) -4  (c) -21  (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -64 or -713\/11?\nAnswer: -713\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (2\/1)\/(8\/(-44)) and 97\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 66561871*a*v**3 - 18*a*v**2 - 83*a*v - 170*v**2 wrt v?\nAnswer: 399371226*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.49 + 0.22. Let l = t - -0.07. Let y = l + 0.5. Is y bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 46074914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1389118*a*o**3 + 2*a*o**2 + 412991*a*o + 6*o wrt o?\nAnswer: 8334708*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2533*a = 6092*a + 5099*a + 6667*a - 265083 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1749 and 152746.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -s**2\/7 + 6849*s\/7 + 137380\/7 = 0.\nAnswer: -20, 6869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1, 2\/9, -1\/4, -3, 48, 0.0172, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2481  (b) 5\/2  (c) -0.5  (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express ((4*d - 2*d + 0*d)*(3*d - 3*d + 2*d) + 2*d**2 - d**2 + 0*d**2)*(-3 - 2*d + 3) + 88*d**3 + 146 - 146 in the form i*d**3 + z*d + q + c*d**2 and give i.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1169947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 33*h + 29*h - 18 - 65*h. Let k be b(-8). Suppose 62 + 34 = k*x. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -134*a - 70*a**2 + 317*a**2 + 198*a + 320*a**2 - 64*a.\nAnswer: 567*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 4, b: 3, e: 2, h: 2}. Give prob of picking 2 h, 1 e, and 1 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 16992 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 109*h**3 - 39*h**3 + 6044*h**2 - 23512 + 148*h**3 + 11848 + 5400*h + 2*h**4.\nAnswer: 2*(h - 1)*(h + 2)*(h + 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 247 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1069 + -21279.356?\nAnswer: -20210.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1322*h - 25089*h + 706652 = -463803 + 8371 for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the first derivative of -38\/3*z**3 + 9*z**2 + 76 - 2\/5*z**5 + 11\/2*z**4 + 0*z. Let o(a) = 0. What is a?\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16344 divided by -18.\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a**2 - 8*a**2 - 3*a**2)*(0 - 2 + 3) + 16 - 16 - 5*a**2 + a**2 + 10 - 10.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -37?  (a) -3  (b) 1  (c) 2\/11  (d) 5  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - 4*h + 133. Suppose 23 = 4*s + h, -o = -3*s - 22. Are o and 280\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 - -3. Suppose 0 = -w - 3*d + 15, 0*w + 3*d + 3 = h*w. Factor -15 - 5*r + 5*r**3 + 0*r + 18*r**2 - w*r**2.\nAnswer: 5*(r - 1)*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -850 + 1542. Let g = h + -484. Is 52 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 36*d + 44. Let c be 2 - (-3*(-1)\/1 + -5). Let z(m) = 36*m + 43. Let y(v) = c*z(v) - 5*a(v). Differentiate y(r) with respect to r.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 88231534 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 8*k**2 - 4*k + 6. Determine v(3).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 + 443024?\nAnswer: 443021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -279 - -280. Is b at least -6\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from uwuuwwwwwwwwwwww.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -322689 to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 27.9608 + -28. Round n to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 1435*y + 344. List the prime factors of x(28).\nAnswer: 2, 3, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 11 and 0.05.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15684?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.275027 millilitres to litres.\nAnswer: 0.003275027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/(n*n**(-5))))\/n*n\/n**(-2\/45)*n)\/(n**(2\/7)*n)**(-9) assuming n is positive.\nAnswer: n**(2714\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22712361 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.3, 3, -6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of 73*j**8\/336 - j**7\/105 - 7*j**5\/12 + j**4\/12 + 403*j**2. What is the third derivative of r(c) wrt c?\nAnswer: 4380*c**2 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 146, 145, 144, 143, 142, 141?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4\/117, 852, 2\/13?\nAnswer: 4\/117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 408277 is divided by 5102.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5948*u*v + 1510738*u + 3*v wrt v.\nAnswer: -5948*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -512500 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 70*m**2 - 6*m + 19. What are the prime factors of a(2)?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 205?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7118552l to millilitres.\nAnswer: 711.8552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -43*t**2 + 2*t. Let b be g(2). Let x = b - -343. Suppose 5*c - x = -5*n, n - 2*n - 5*c = -39. What is the remainder when n is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 - 21*r + 5. Let z be x(-21). Let k = -23 + 36. Suppose z*v = w - k, v + 41 + 106 = 4*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -2*g**3 + 15*g**2 - 5*g - 6. What is the remainder when 19 is divided by j(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*t**2 - 48*t**2 + t**2 - 13*t**2.\nAnswer: -102*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 127691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 10083606 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/6*144\/(-48). Let i(v) = 989*v**2 - 2*v - 1. What is the hundreds digit of i(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14272 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 775*u**2 + 6255*u + 12620 = 0.\nAnswer: -631\/155, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -11221, -11230, -11239, -11248, -11257?\n\"Answer: -9*n - 11212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 172*t**4\/15 + 482*t**3\/3 - 13976*t**2 + 40930*t\/3 + 2408\/15 = 0?\nAnswer: -43, -1\/86, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20*m - 10*m - m + (-4 + 2 + 1)*(-m + 3*m - m) - m + m - m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 9390389 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43251, 86500, 129749, 172998, 216247?\nAnswer: 259496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3e4 + 1?\nAnswer: 3e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n + 30 = 4*n. Let a(o) be the first derivative of -3*o**2 - 6 + 1\/3*o**n + o. Calculate a(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**3 + 67*k**2 + 743*k + 68. Let v be s(-53). What is the greatest common divisor of 6060 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 9, v: 11}. What is prob of picking 2 f?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-160)\/192*14\/(-70).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 > -197639270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 PM and 8:01 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -112632 divided by -6?\nAnswer: 18772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ixxxixix. What is prob of picking 3 x?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13536*o**4 + 28946*o**3 + 3514*o**2 - 464*o + 8 = 0. What is o?\nAnswer: -2, -2\/9, 1\/47, 1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*c = d - 29 - 17, -56 = 7*d - 3*d - 24*c for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 4*t - 16 = 0, -3*t + 5 = 5*z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5 - ((-6)\/10)\/(2\/10). Let h be l + -9 + (-2)\/(-2). Solve 5*y - 5*b + 40 = y, y - 2*b + 13 = h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s**4 - 387*s**3 - 84192*s**2 + 1548*s + 336720 = 0. Calculate s.\nAnswer: -115, -2, 2, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 40 - 30. Let d be 8 + ((-6)\/i - 168\/70). Solve 0 = 5*c + 5, 4*z + 15 = -z + d*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - 3*l - 3 = 0, 127*l = 4*h + 122*l - 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 152.3464 millilitres to litres.\nAnswer: 0.1523464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8)\/14 - (-3 + 160\/(-35)). Suppose -i*d + 9 = 2. Differentiate 2 - 3*r**2 + 0*r**2 + d - 33*r**2 with respect to r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11199*c**3*q + 3*c**2*q + 3*c**2 + 2*c*q + 82*q wrt c?\nAnswer: -67194*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.2, 5\/7, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of -86*h**3\/3 - 246. Let q(z) = 7*z**2. Determine q(l(n)).\nAnswer: 51772*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((80\/(-10))\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4755 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.066 + 0.07. Let h = i + 0.196. What is the closest to h in 0, -0.1, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 103*f + 255 + 157. What is the third biggest value in -2, f, 3, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (235\/940 - (-21)\/(-20))*(4 + 6\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.8?  (a) -4376\/9  (b) -4\/19  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 1\/985193?\nAnswer: 1\/985193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 2*u + u - 6 = 0, 0 = -3*z - u - 11. Let x be z*4\/(-12) + 28. Solve 0 = -2*w + 5*b + x, -2*w - 3*w - 5 = 3*b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**2 + 5*q + 7. Let m be s(6). Let x be 1*(m + 18 + 0). Let n = x - 8. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -0*i - 6. Let h(z) = -8*z + 0*z + 24*z**2 - 28*z**2 + 1. Let t be (-8 + 1)*1\/1. Let y(n) = 5*n**2 + 9*n - 1. Determine i*y(q) + t*h(q).\nAnswer: -2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 3, a: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hoohthohoo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 48\/7 and -97\/332.\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 55*h**4\/4 + 137*h**3\/2 - 5*h**2\/4 = 0. Calculate h.\nAnswer: -5, 0, 1\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -320, 0, -1, 5, 79.\nAnswer: -320, -1, 0, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + b - 6*b = -31, -8 = -2*b. Suppose 2*v - 3*z + 20 = 91, 4*z - 143 = -5*v. Calculate the remainder when v is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*o**2 + 18*o**2 + 22*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138*w - 31*w - 127*w - 2667 = 85*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4 - -1) + 2 - -2. Suppose 13 = i + 2*z, -25 = -232*z + 227*z. List the prime factors of ((-1*14)\/(-2))\/(i\/l).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 401665 in 2\/61, -9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7 or 7778\/1325?\nAnswer: 7778\/1325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/47883 bigger than 87.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes before 8:43 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*s - m, 3*s - 1613*m - 1620*m + 24 = -3232*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (73\/1168)\/((-2)\/12)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 - -1 - (-15 - -20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*g*o*s**2 - 2*g*o + 9*g*s**2 - 25*g + 597*o*s**2 - 6*o*s + s**2 - 4*s wrt s?\nAnswer: -4*g*o + 18*g + 1194*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -48695738*q**4 - 1428549*q + 6?\nAnswer: -584348856*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*r**3 + 7*r**3 + 7*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**2 - 2*u + 1. Let t be h(1). Let q = t + 2. Solve -q = 2*w + d, 0*w + w = d + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2453851 (base 9) to base 15.\nAnswer: 1b5744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 + 0. Suppose 4*f - 5 = 3. Which is the closest to p?  (a) -2\/9  (b) 1  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 524\/215  (b) 6  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -76512, -76503, -76494, -76485?\nAnswer: -76476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1544\/45934)\/(4\/102))\/(-1*6\/(-735)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2262399844 a multiple of 2413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4 + 0)*1265\/(-20). Calculate the highest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(112))**2*-4*-1.\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 7 = 3. Suppose 16 = 4*h - 4*z, -5*h + z = -19 + 7. Find the third derivative of 0*o**2 - o**2 + 4*o**n - h*o**5 wrt o.\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 + 3*h**2 + 8*h - 2. Let z be c(4). Let b be 42\/1 + 0\/1. Calculate the greatest common divisor of z and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13357656 is divided by 121?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwowffo. Give prob of picking 1 f and 2 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 137, 595, 1357, 2423, 3793?\nAnswer: 5467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o**0*o)**12*o**(3\/4)\/((o*o**(4\/5))\/o) assuming o is positive.\nAnswer: o**(719\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q + 4. Let h(z) = -2. Let s(d) be the first derivative of 23*d + 35. Let u(v) = -22*h(v) - 2*s(v). What is -5*u(c) - 3*y(c)?\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 80411059 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 143  (b) 5  (c) 17  (d) -1  (e) 239  (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 533459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10709*g**4*m**2*y - 4*g**3*y**3 - 3*g**2*y**3 + g**2 + 6*m**2*y**3 + 1767*m*y**3 wrt g?\nAnswer: -257016*g*m**2*y - 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3373 (base 13) in base 12?\nAnswer: -41b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 3*u + 104318, -21262 = -2*p + 4*u + 20468. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4167065 is divided by 927.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 2 - 6)*(8 - 2 + 0)*(-3 + 0 + 1)*(5*j**3 + 0*j**3 - 3*j**3) to m*j + v + t*j**3 + o*j**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4c1 (base 14) in base 3?\nAnswer: -1022022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 2*m + 13*m**2 - 884840 + 2*m**3 - 15*m + 884803. Give c(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -204 - -304.5. Let w = 5.5 - m. Let z = w + 95.1. Which is the nearest to -1?  (a) z  (b) -1\/7  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 214 and 2942.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2, -329, 190 in descending order.\nAnswer: 190, -2, -4, -329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 16) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 212925985?\nAnswer: 5, 59, 721783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13715 divided by -1055.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 3*g**2 + 35*g - 11. Let n = -11 + -4. Is 21 a factor of t(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.76 - 0.56. Let g = f - 0.7. Which is the third smallest value?  (a) 5\/4  (b) 0.4  (c) g  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of 2 + 0*g**2 + 0*g**3 - g + 7\/12*g**4. Let f(t) be the first derivative of c(t). Let s(v) = -2*v. Determine s(f(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a + a?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/a**(1\/4)))**12)**1*(a**(-1)\/a)**(-4\/29)*(a**0\/a)**(-43) assuming a is positive.\nAnswer: a**(1342\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 150\/280 - (-1)\/(-4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -119, 5, 0 in ascending order.\nAnswer: -119, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001176 rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -18728, -44316, -69904, -95492, -121080?\n\"Answer: -25588*b + 6860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**2 + 2*r**2 - r**3)*(-2*r + 3*r + r) + (-2*r + 2*r**3 + 2*r)*(5 + 4 + 6)*(3 - 4 + 3)*(-r - r - r).\nAnswer: -182*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 342\/(-783) - (13\/(-3) + 4). Which is the closest to 0?  (a) -4  (b) -0.2  (c) 0.4  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(3 + -5*(-5 + (sqrt(2736) - (sqrt(2736) + 0 + 5 - sqrt(2736)) - sqrt(2736)))*2) + -3)**2.\nAnswer: 43681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7.629 - 9.629. Sort -92\/7, c, -0.4 in descending order.\nAnswer: -0.4, c, -92\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 5*l - 1. Let b(t) = -t + 1. Let k be ((-20)\/30)\/(4\/6)*292. Let q = k + 290. Determine q*b(u) - g(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 871 + -769. Suppose -2*y = -88 - n. Calculate the remainder when y is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - -15 - -2) + 3 + -4. Calculate the highest common divisor of 6 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = w - d - 20, 5*w - 95 = -d. Suppose -2*o = -7*o. Let v = 7 + o. What is the remainder when w is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the second derivative of -b**6\/60 - b**5\/20 - b**4\/24 - 5*b. Find m such that w(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 802, 804, 814, 838, 882, 952, 1054?\nAnswer: 1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 424162.\nAnswer: -1\/424162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-11) - (1350\/(-33))\/5. Let a(q) = -12 - 2 + q - 2*q + b. Calculate a(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 130\/29 - 263741\/58841. Let d = -144111\/105508 + a. Calculate the common denominator of -25\/12 and d.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z**3 - z**3 + z**3 + 3*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 25*p + 4008. Give c(-163).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 629549 - -10?\nAnswer: 629559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.0155 + 0.2155. Let t = -0.17 - 5.13. What is the third smallest value in u, t, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1137712 to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put together 609 and 0.197959106.\nAnswer: 609.197959106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -802 - -797. Suppose 9*i - 15 = 4*i. Suppose -i*z + 2 = -z. Which is the closest to 2\/5?  (a) y  (b) -0.5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15430 - -15455. What is the least common multiple of l and 4575?\nAnswer: 4575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 9, k: 3, z: 4, v: 2}. Give prob of sequence eke.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5390, 5275, 4966, 4367, 3382, 1915, -130?\nAnswer: -2849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15*l**5 + 185099*l**3 + 2*l**2 - 19032242*l?\nAnswer: 900*l**2 + 1110594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 21*h**3\/2 + 37*h**2\/2 + 19*h\/2 + 3\/2 = 0?\nAnswer: -1, -3\/7, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nikvknskvkvngv. What is prob of picking 1 k and 1 n?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -112321 + -1?\nAnswer: -112322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*i - 101277 = 57425 - 29518. What is the smallest common multiple of 12 and i?\nAnswer: 8808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 - 30\/(-100)*(-44)\/6. Let a(s) be the first derivative of -1 - 1\/5*s**2 + 2\/5*s**3 - t*s. Suppose a(r) = 0. Calculate r.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t**5 + 101968*t**4 - 1302739568*t**3 + 77889276480*t**2 - 1166964199200*t = 0. What is t?\nAnswer: 0, 30, 25462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - -2. Let y be (d\/(-35))\/(2\/(-14)). Suppose -y*q + 0*q = -2. Calculate the highest common factor of 2 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-59 - 4 - 265)*((1 + 0 + 1)*(-2*q + 3 - 3) + 3 + 6*q - 3) in the form o + k*q and give k.\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 64?  (a) -4  (b) 3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**4\/5 - 64*p**3\/5 - 997*p**2\/5 - 1062*p - 7128\/5.\nAnswer: -(p + 2)*(p + 9)**2*(p + 44)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -406, -278, -148, -16, 118, 254?\n\"Answer: p**2 + 125*p - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 244 = 8*z. Let k = 55 - z. Let d(a) = -a**3 - a**2 + 9*a + 3. Calculate the remainder when d(k) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(448)*-3 + (sqrt(35) - (sqrt(35) - (-1*sqrt(35)*-2 - sqrt(35) - sqrt(35))))\/sqrt(5))*6.\nAnswer: 864*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9995 and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9687496*j**5 + 518*j + 13718 wrt j.\nAnswer: 193749920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of 5 + 0*a - 1\/12*a**3 + 0*a**2. Factor o(l).\nAnswer: -l**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 198304, 396598, 594890, 793180?\nAnswer: 991468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/114 + 40\/(-19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 51981*b**6 + 390*b**2 + 2*b - 110?\nAnswer: 6237720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 - -10. Let f(j) be the first derivative of j**3 + 3*j**2\/2 + 2*j - 137. What is the tens digit of f(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -146703831, -146703829, -146703827, -146703825?\n\"Answer: 2*j - 146703833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q = 18 - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144)\/sqrt(192))\/(sqrt(484) - ((sqrt(484) - sqrt(484)*-2) + sqrt(484) + sqrt(484))) - ((2*sqrt(108)\/sqrt(4))\/sqrt(9) + 3).\nAnswer: -353*sqrt(3)\/176 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 415 + -2c9?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 1360.\nAnswer: -1\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10091693?\nAnswer: 17, 593629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -14*p - 11. Let b(r) = -r - 1. What is 66*b(c) - 6*u(c)?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 765626*-0.1.\nAnswer: -76562.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o - 4. Let a be t(11). Let g = a - 6. Let b be ((-15)\/(-540))\/(1\/(-2)). Which is greater: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47 + -39 - (-1 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 7:17 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 27078 - 26736. Let q = -67 - -219. Calculate the highest common divisor of q and r.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 690 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the second derivative of 5*c + 4\/15*c**6 + 0*c**2 + 0*c**5 + 0*c**4 + 1\/6*c**3 + 0. Find the second derivative of m(l) wrt l.\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, g: 8, y: 9}. What is prob of sequence gf?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-4)*2*(-10 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000380282 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 100646\/156 + 9\/(-54). Which is bigger: 652 or i?\nAnswer: 652","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 635 + -8263\/13. Let i = 82\/91 + o. Suppose -7*b - 15 = -2*b, 5*g + b = -8. Are g and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -6, -3\/8, -3\/16, 3?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9 and 56?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 127*w - 54*w + 292 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1825, -7298, -16419, -29188, -45605, -65670?\n\"Answer: -1824*i**2 - i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*g**2 - 1814*g**4 - 745*g**3 + g**2 + 3 + 1813*g**4 to i*g**3 + d + u*g**2 + j*g**4 + a*g and give i.\nAnswer: -745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4136.9727 - -4137. What is o rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 55 (base 14) to base 11\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2038 is divided by 339?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.1596753 tonnes?\nAnswer: 159675.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 6)*(-5*w**2 - 4*w**2 + 0*w**2).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3965706 and 12742?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 2*g**3 + 40*g**2 - 2*g - 30. Let z be o(-20). Solve -14*c + 16*c + z = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**2 + 10*u + 1. Let w(m) = -18*m**2 - 90*m - 9. Let z(v) = -18*a(v) - 2*w(v). Let o(p) = -104*p. Determine o(z(y)).\nAnswer: -1872*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 22 = 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 104 - 104.3. Put 2, s, 0.8, -1 in descending order.\nAnswer: 2, 0.8, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -16, -5 in increasing order.\nAnswer: -16, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -51124557.\nAnswer: 5\/51124557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 7  (b) 0.05  (c) 2\/5  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 333 and 4218.\nAnswer: 12654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1101110101000111100001 + 100?\nAnswer: 1101110101000111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 4*o + 14 = 0, -4*o - 2 + 3 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-24)\/(-40)*(-6 + 1). What is the remainder when 17 is divided by 3 + ((-7)\/s - 2)*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {i: 4, n: 2, z: 3}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1d - -27935?\nAnswer: 27954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*k - 2668 = -6*k. Is k\/(9 - 8) + (-1)\/1 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -85 + 11 + 17 + 8 + 17 - 5*i**3 + 29 - 2.\nAnswer: -5*i**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*a**4 - a**3 - 2*a**2 - 2*a - 174 + 174 as l*a + d*a**2 + t + x*a**4 + b*a**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:21 PM and 5:09 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 35 - 36. Sort u, 4, 5 in increasing order.\nAnswer: u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -51, -53, -55, -57?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ofssopoppsfssss. Give prob of sequence pso.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -9728211 - -9?\nAnswer: -9728202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04198683441 rounded to 5 dps?\nAnswer: -0.04199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.015, 120, -3, -1.3, 17, 2 in increasing order.\nAnswer: -3, -1.3, 0.015, 2, 17, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 12 = 8. Is b <= -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -89, -93, -95, -95?\n\"Answer: i**2 - 7*i - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 316*j**3 - 674*j**3 + 16 + 54*j**2 - 36*j - 14*j + 2*j**4 + 336*j**3 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*t + 7*t**2 + 9*t.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the second derivative of -q**3\/3 - 7*q**2 - q. Let g = 3 - 11. Let f(x) = -x + 7 + 7 + 1 - 24. Give g*f(t) + 5*a(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 127 - 25 = 0. Let d = r + -37. Which is smaller: d or -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9994527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112*f + 2528 = -75*f - 445*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 2*p**2 - 28*p + 70. Suppose -2*y = u - 36, 7*y - 52 = 5*y + 3*u. Is 19 a factor of i(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-39)\/117)\/(6\/(-8)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*14.7\nAnswer: -4.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -854 + 855. Let i(c) = c**3 + 1. Let z(b) = -80*b**4 + b**2 - 45. Let v(l) = d*i(l) + z(l). What is the third derivative of v(n) wrt n?\nAnswer: -1920*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20012202111021 (base 3) to base 15.\nAnswer: -453584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 62 - 62. Suppose -b + 178 + 88 = l. What is the greatest common divisor of b and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c + 2*c - c)*(c**2 + c**2 + 0*c**2) - 63*c - 59*c + 123*c - 24*c**3.\nAnswer: -28*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 8*r**2 - 1776*r + 80628?\nAnswer: 16*r - 1776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (84\/(-1260))\/(30\/100)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 67 = -6*a + 9*a, -124 = 2*n - 4*a. Let w = 68 - n. Does 20 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-18426)\/(-14) + (-72)\/504. What is the third derivative of 0*f**5 - 122*f**2 + j*f**4 + 2*f**6 + 0*f**5 - 1356*f**4 wrt f?\nAnswer: 240*f**3 - 960*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48\/(-64)*(-16)\/36*21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 428345 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of -103*a**5\/20 - 7*a**3\/2 + a**2\/2 - 122*a. Find the second derivative of w(u) wrt u.\nAnswer: -618*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 + 73. Let w(j) = -15*j**2. Give w(r(q)).\nAnswer: -15*q**4 + 2190*q**2 - 79935","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (7 - 3)*(-178)\/(-8). Let i = 510 - l. List the prime factors of i.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 115\/68322 and -133\/358602?\nAnswer: 69210186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/10 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/553608 and 61\/792?\nAnswer: 553608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 12*q**2 + 9*q + 44. Let w(b) = -23*b**2 - 18*b - 69. Let p(d) = 5*j(d) + 3*w(d). Give p(-4).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 52\/46721 and 73\/2522934.\nAnswer: 2522934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -321?  (a) 3\/7  (b) 2  (c) -29\/5  (d) -2  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*n - 2*n + 4*n)*(3508 + 111 + 5121 + 9397) to a*n + h and give a.\nAnswer: -36274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 76511633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -147*d**4 - 4*d**3 - 1256*d wrt d?\nAnswer: -1764*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 53, 39, 1, -73, -195, -377, -631, -969?\n\"Answer: -2*u**3 + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.2  (b) 0.08  (c) 3  (d) 172  (e) 83\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, a: 3}. What is prob of picking 3 a and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2425 + -2191. Calculate the highest common divisor of 52 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 632007, 631985, 631963, 631941?\n\"Answer: -22*s + 632029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = 3*i + 14, 23*i - 22*i + 7 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/13948 and 139\/6.\nAnswer: 41844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(-19)*j)\/j)\/(j*j\/(j\/j**(-20))))**(-1\/6) assuming j is positive.\nAnswer: j**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 7*v = 120. Suppose -3*f = -60 + v. Solve 4 = -4*s - f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from euuozzuezzzfzzzzoez. What is prob of sequence efz?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 43363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/1132 and -13\/4670.\nAnswer: 2643220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the second derivative of 19*l**3\/3 - 77*l**2 + 5068*l. Calculate y(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3302\/139 or 25?\nAnswer: 3302\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1043 = -3*c - c + 3*m, 0 = c + 5*m - 278. Suppose p = -3*q + 43, p - 3*p + 5*q = -42. Calculate the remainder when c is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.034929106 rounded to five dps?\nAnswer: -0.03493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - x**2 + 0)*(2*x - 5*x + x) + 3*x**3 + x**3 - 2*x**3 + 0*x**3 - 3*x**3 + 0*x**3 - x**3 + 3*x**3 + 0*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 + 3 + (2 + 0 - 3)*(3 - 2 - 3))*(-628*k + 99*k + 38*k + 2*k - 3 + 3 + (0 + k + 0)*(-2 + 2 + 2) - 2*k - 2 + 2)*(0 + 5 - 3).\nAnswer: -978*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -835 from 12.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3745.\nAnswer: 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1319*j**3*u - 2*j**3 + j**2*u + 18959*u wrt j.\nAnswer: 3957*j**2*u - 6*j**2 + 2*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (5\/4)\/((-5)\/20). Let v(u) = -u + 1. Let h(c) be the third derivative of c**4\/8 - 2*c**3\/3 - c**2. Determine n*v(j) - h(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvvxvxx. What is prob of sequence vvvx?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6110449?\nAnswer: 107, 57107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 24894*x - 323621. Determine g(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 - 10*a**2 + 9*a + 4. Suppose -t + 5*j + 34 = 0, -4*t + 8*j - 3*j + 61 = 0. Calculate c(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12\/4 + 393\/6. Let y = x + -71. Which is the third biggest value?  (a) -5  (b) y  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and -3.50230536.\nAnswer: 3.50230536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*m + 20 = 76. Solve m*u = 8 - 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 11 = -49. Suppose -2*l + 32 = 2*g + 10, 2*l - 2*g = d. Suppose -8800 = l*j - 17*j. Round j to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.09 + -0.245. Let i = 0.37 + l. Let n = -0.365 - i. Which is the second smallest value?  (a) -4  (b) n  (c) 1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, l: 2, s: 1, w: 2, e: 3, f: 1}. Give prob of picking 1 s and 1 l.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence noo when three letters picked without replacement from {n: 1, o: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**3 - 2*x**2 + 2*x**2)*(6*x**2 + 34*x**2 + 38*x**2).\nAnswer: 78*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.588556 to 3 dps.\nAnswer: 0.589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138 is divided by 72?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o = p + 1, 5*o = -6*p + 201 - 172 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 261 a factor of 53644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(27) + sqrt(3))*3 + -1 + sqrt(147))**2*-3.\nAnswer: -3252 + 114*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*o + o = -139 - 85 - 364 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119*r - 123*r + 2*f - 12 = 0, 5*f = 3*r + 23 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5\/11?  (a) -704\/9  (b) 0.5  (c) -7\/3  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*v**2 + 16*v**2 - 2 - 1 - 131*v + 361*v**3 + 132*v.\nAnswer: 361*v**3 + 21*v**2 + v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 120*p + 45. Let o be (-32 + 2)\/(4\/6). Let v(m) = -11*m - 4. Let i(d) = o*v(d) - 4*n(d). Let w(g) = -6*g - 10*g + 14*g. Determine i(w(l)).\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12.485 - -12.40403. Let d = -0.0706 - a. Round d to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 + 5*d**2 + 5*d + 8. Let a be u(6). Suppose -5*m + 51 = 4*k, k + 15 = a*k + 2*m. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (87 - (5 - ((-2 - -2) + 6))) + 7 + -9?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*i = 42, 4*i + 150 = 12*c - 7*c. Let a(m) = -2*m**3 + 53*m**2 - 25*m - 17. Calculate the remainder when 168 is divided by a(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -3714 and -3715 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*c - 166*c + 54*c + 50*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 112 = 4*j, 0*j - 5*j = -l - 169. Let v(p) = -3*p + 6. Calculate the least common multiple of v(-7) and j.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1269 or 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 7.577834 years?\nAnswer: 0.007577834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 - 4. Factor a*b**4 - 5*b**4 - 91*b**2 - 3*b**3 + 97*b**2.\nAnswer: -3*b**2*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.11 and -0.142.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1\/4 - -9\/20. Let 3\/5*i**4 + 1\/5*i**5 + q*i**2 + 0*i + 3\/5*i**3 + 0 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 56032 and 4312.\nAnswer: 30201248","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 18*a - 539. Give y(25).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-37))\/((31 - 113) + (-7 - -82)).\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 - 11. Let b(r) = 4*r + z*r - 61*r**2 - 3 - 56*r**2 + 116*r**2. What is b(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 3*g = 18, 2*s + 13*g = 14*g + 18. What is the least common multiple of s and 62?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*y**2 - 13*y - 23*y**2 + 5*y**2 + 4*y**2 + 0*y.\nAnswer: -2*y**2 - 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2191*o - 63554. Give v(29).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2313133 (base 4) to base 14.\nAnswer: 43cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = -3*c + 7*f + 26, 8 = -2*f. Solve -4*w - 3*s - 1 = 0, -4*w = -4*s + c + 30 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(243) + sqrt(243) + 5 + -2 + 5 + sqrt(243).\nAnswer: 8 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1920973?\nAnswer: 41, 46853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9794.862 decades to months.\nAnswer: 1175383.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y**2 + 1824*y - 3660 = 0.\nAnswer: -610, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.1691 * 0.15.\nAnswer: -0.625365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1031640980 rounded to the nearest 1000000?\nAnswer: 1032000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**2 - 6*s + 2. Let l be v(-7). Let u(c) = c + 8. Let w be u(-9). Sort l, -3, w.\nAnswer: l, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 8*z + 30 = 0. Let s = 10 + z. Suppose -7*v + 2*v + 35 = s. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the second derivative of c**7\/15 + 4*c**6\/25 - 16*c**5\/25 - c**4\/5 + 5*c**3\/3 - 6*c**2\/5 - 15*c + 1. Let g(q) = 0. Calculate q.\nAnswer: -3, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2  (b) 14  (c) -3.702  (d) 0.5  (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5488.7um in kilometers?\nAnswer: 0.0000054887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 754 - 341*h**2 - 754 + 90*h**2.\nAnswer: -251*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55097?\nAnswer: 7, 17, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*v**1*(v\/v**(-15))\/v*v**(3\/10)\/(v**(-7)\/v) assuming v is positive.\nAnswer: v**(253\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 4, -3*k + f + 35 = -4*f. Solve 0 = 3*u - 7*u - 5*p - 5, k*u - 3 = 3*p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(8)\/(1*sqrt(4)) + (sqrt(2) - (sqrt(2) - sqrt(2)*2))*1 + (sqrt(216)*2 + sqrt(6))\/(sqrt(27)\/sqrt(81)).\nAnswer: 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**2 - 12*u - 5. Let w be l(-1). What is the greatest common factor of w and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -6, -921, -25, -4, -3.\nAnswer: -921, -25, -6, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.8 - 0. Which is greater: -0.2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 5*n + 1662, 408 - 62 = -n + 4*k. Let o be ((-54)\/(-15))\/((-12)\/n). Let b = o - 94. Solve 4*p = -5 - 3, -5*p - 5 = b*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 259 divided by 7?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -35*x**2\/2 + 18*x - 1\/2.\nAnswer: -(x - 1)*(35*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1083 + 27 = 88*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 90 and 4110.\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15898 - 31829 + 15890 + f**2.\nAnswer: f**2 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -872 - 726 + 697 - 689 + 5078*l wrt l.\nAnswer: 5078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 119\/18 and -37\/936.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12517\/72440 + 4\/1811. What is the common denominator of 99\/56 and h?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 103 - -2143102?\nAnswer: 2143205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 4 + (2 - 6) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2*((-5)\/(-5))\/(-2 + 4). Let m = 16 + -2. Suppose -15*h = -m*h + 1. Put h, 5, g in decreasing order.\nAnswer: 5, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7852941 is divided by 1341.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1188896 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 45 - 27. Calculate the smallest common multiple of z and -3 - ((-4)\/(-4) + -20).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and 0.11.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -99?  (a) 1\/3  (b) 1\/2  (c) -5  (d) 0.1  (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from {w: 8, c: 5, a: 2, g: 4}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 + 45*b**2 + 102*b - 2. Calculate h(47).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1620 - 3422 = -2*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dpdqizdddzilp. Give prob of sequence qz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + -5 + (-1 - -2). Let n be ((8\/2)\/1)\/i. Let g be (-1 + n)*(8 + -9). Solve 0 = -g*k + 2*k - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3\/3 + 8*t**2\/3 + 5*t\/3 - 14\/3.\nAnswer: (t - 1)*(t + 2)*(t + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1098*o + 1081*o + 1309. What is the least common multiple of o and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 smaller than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*t - 31 = 73*t - 1186 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 5*l**2 - 264*l + 64. Determine w(53).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 243 and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((-146)\/(-50) - 25\/(-250)*-30).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 663.3438 - 772.34282. Let j = -0.3 - -109.3. Let p = j + t. What is p rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.6 - -0.4. Let g = 5.2 + u. What is the third smallest value in -2\/9, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*v - 84*v = 86*v + 17*v - 6720 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = j + 10 - 3, -3*j = 4*r - 18. Suppose 0 = -v + 3*s + 2, r*s - 5 = 4. Calculate the least common multiple of v and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (-21 + 37 - (5 - 4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/10 + (1 - (2 + -3)). Suppose 34 + 162 = s*i. Suppose -99*c + i*c = -3. What is the closest to c in 2, 3, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 293604605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**2 + 2*c + 5. Let n be d(4). Let q be (-9)\/(-6)*(-8)\/n. Suppose q*t - 74 = 62. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/10328 and 89\/78.\nAnswer: 402792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 142694150 and 1550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 6606 = 10*k. Let v be (6600\/k + 2)\/(1 + 0). Let g = 71581\/8808 - v. Calculate the common denominator of 31\/16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9431681*h**5 - 2*h**3 + 548*h**2 + 4410 wrt h?\nAnswer: 565900860*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 110 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -157222, -314449, -471676, -628903, -786130?\n\"Answer: -157227*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-412)\/5871)\/(-4*3\/27).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5565959 is divided by 9765.\nAnswer: 9674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -21. Is 38 a factor of 3952\/12 - (-12)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 552 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/71 in -3\/7, 113.6, -0.1, -1\/3, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -28*c**3*l + 1333170*c**3 + 2*c**2*l - c**2 - 2425393*c*l + 2*c wrt c?\nAnswer: -168*c*l + 7999020*c + 4*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -434*s**4 - 1003*s**3 - 59466 wrt s.\nAnswer: -1736*s**3 - 3009*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of 0 + 0*s - 1\/15*s**5 + 0*s**4 - 1\/105*s**7 + 1\/20*s**6 + 7*s**2 + 0*s**3. Let o(y) = 0. What is y?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10611 + -4549. Calculate the greatest common divisor of 56 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -243*h + 242*h + 6 = 0. Let d be (-3 + h)\/(2\/(-48)). Let s = d - -270. Calculate the highest common divisor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 9*a + 10. Let p be -9 + 3 + -2 + 2. Let m be o(p). Is (m\/(-6))\/(14\/63) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109466353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 24*z**2 + 18*z + 113. Is s(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (22\/8)\/((-21)\/(-792)). Let q = -104 + z. Let w = -0.0366 + 4.0366. What is the second biggest value in w, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1208 and 5808.\nAnswer: 877008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 44*t**2 - 408*t + 5 + 18*t**2 + 404*t. Is j(2) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/16  (b) -0.5  (c) -57  (d) -0.1  (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30 and 3085.\nAnswer: 18510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**3 + 23*n**2 + 40*n - 36. Calculate p(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 42*b - 16*b - 14*b + b**2 + 1 - 14*b as x*b + j*b**2 + c and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 68617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (3 - 2) - (-5 - -15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12542598 is divided by 952?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 4)*(4 - 4 - 2*h) + h - 1 + 1 - 44*h - 2*h + h + (-1 + 1 + h)*(-1 + 0 + 2) + 3*h + 4*h - 6*h - h - 4*h + 4*h.\nAnswer: -39*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (1 + -1 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -u**2\/7 + 2133366*u\/7 - 1137812622489\/7 = 0.\nAnswer: 1066683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p - 6. Let x be (-3)\/(0 - (-5)\/((-70)\/3)). Let u be n(x). Solve 2*w + 3*w - 3*z + u = 0, -2*w + 1 = 3*z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(30)\/(sqrt(50)\/sqrt(5)) - sqrt(3))**2 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12717073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 11 + -46?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 47199 and 24?\nAnswer: 377592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 32957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.05, 3, -12, 0.4, -1.\nAnswer: -12, -1, 0.05, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:53 AM and 4:52 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1629.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.27004179 to four dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are 3\/736 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/7?  (a) -347  (b) -1\/10  (c) 0.3  (d) 0  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*o + v - 14, 2*v - 9 = -o - 6 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 77386207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -381 - 654 = 345*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 153193 and 3144601?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -81 + 81.3. What is the third smallest value in 1\/4, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002486 to five dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-5*5*1*(sqrt(1539) + -2*-1*sqrt(1539) + (sqrt(1539) + -2)*4)**2.\nAnswer: -50400*sqrt(19) + 3773750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, -47, -56, -65, -74?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 11*m + 314. Calculate k(-29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 664390833?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00024252 rounded to 5 dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/303796 and 42\/13.\nAnswer: 3949348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6701?\nAnswer: 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7270 and 40200192.\nAnswer: 201000960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 278, -96, -1074, -2656, -4842, -7632, -11026?\n\"Answer: -302*f**2 + 532*f + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*x - 709 + 397 + 312 = -420 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -23346, -23074, -22622, -21990, -21178?\n\"Answer: 90*w**2 + 2*w - 23438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*h + 33*h - 6 = 4*w, 4*w + 8 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of d**4\/12 - 4*d**3 + 71*d**2 - d + 43. Let z be u(11). Sort 5, -69, z, 1 in descending order.\nAnswer: 5, 1, z, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11908 by -2977.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(2\/7)*a)\/a**(2\/5)*(a**0\/a*a)**(-2\/91)*(((a**(1\/3)*a)\/a)\/((a\/(a\/a**(-9)))\/a))**(1\/25) assuming a is positive.\nAnswer: a**(682\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, o: 3}. Give prob of picking 3 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*i - 2, 0 = 3*z + 4*i + 21 - 13 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + 1370?\nAnswer: 136e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*u**5 - 3*u**5 - 2*u**5 + (-13 + 1 - 10)*(2 - 2 - 4*u)*(5*u - 5*u - u**4).\nAnswer: -85*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from zrixxreg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13514 = 7328*t - 7095*t for t.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*s**2 + s**4 - 122*s + 124*s - 2*s**3 - 3*s**2 - 2*s**2 + 2 in the form j + a*s + k*s**3 + v*s**4 + l*s**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:31 AM and 9:08 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -5*m**2 + 26*m - 3. Let x(t) = 3*t**2 - 17*t + 2. Give 5*b(a) + 8*x(a).\nAnswer: -a**2 - 6*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3 - 1 + 3)*(2 - 1 + 0) - 1 + 8 + 3)*(27*i + 4*i + 83*i) in the form k*i + n and give k.\nAnswer: 1026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/(g*g*(g*g**(1\/2)*g)\/g*g)*g)\/(g\/(g**(2\/15)\/g)*g))**15)**29 assuming g is positive.\nAnswer: g**(-4669\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 4*v - 34, 7*x - 2*x = -5*v + 35. What is the tens digit of 462\/24 - 2\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -14*r**3 + 2*r**2 - r - 2. Let i be q(-2). Suppose 0 = -3*c - y + 109, 4*c - y = 4*y + i. List the prime factors of c.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*m**2 + 9*m - 2*m - 7*m + 7*m + 6*m.\nAnswer: 3*m**2 + 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 3 e when four letters picked without replacement from tbeyyyeebae.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 72 - 106. Let t = q + 83. Suppose 3*s = -3*b + 5 + t, 2*s - 4*b - 66 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -18*x**3 + 996*x**2 + 3395*x\/2 + 1425\/2 = 0. Calculate x.\nAnswer: -5\/6, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**5\/2 + 39*d**4\/2 - 271*d**3 + 1548*d**2 - 3024*d + 1728.\nAnswer: -(d - 12)**3*(d - 2)*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 42253, 84505, 126757, 169009, 211261, 253513?\n\"Answer: 42252*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (5 - (9 + -4)) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 554.32143 to 1 dp.\nAnswer: 554.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.5 + 0.3. Sort 0.13, 4, k in descending order.\nAnswer: 4, 0.13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11 times 0.03432083?\nAnswer: 0.0037752913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (156\/(-10))\/((-3)\/10). Suppose q = 5*j - 3. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**3 - 11*y**2 - 15*y. Let c be q(-10). Differentiate c + 53 - 85 + 22*f with respect to f.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 4*t + 2 - 28, 0 = 2*n + 2*t - 18. What is the derivative of -7 - d - n*d + 8*d wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**18*k\/k**(-14))\/(k**(18\/7)*k*k**10) assuming k is positive.\nAnswer: k**(136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lpgkgaka. What is prob of picking 1 p and 1 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43, -87, -131?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the third derivative of r**6\/90 + 13*r**5\/150 - r**4\/5 + 3*r**3\/2 + 8*r**2. Let x(z) be the first derivative of a(z). Find c, given that x(c) = 0.\nAnswer: -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 878130313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -24*14\/(-21)*(6\/24)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 4*o - 490 + 42 = 0, 0 = -4*z - 2*o + 442. Let t = 221 - z. What is the smallest common multiple of t and 22?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 5 + 0 - 6 - 3*j**2 - j. Give u(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 14 - 5)*(5 - f - 5)*(2 - 3 - 1).\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 - 6*x + 6. Let i be v(-5). Find the common denominator of 2\/9*-1 - 2 and (-64)\/(-12)*i\/12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 264307.\nAnswer: 113, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**3 - 13*p**2 - 2*p. Let k be d(-13). Let v = -18 + k. Calculate the greatest common divisor of 88 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1661 + -2614133?\nAnswer: -2616124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -5586*f**2 - 5585*f**2 + 16766*f**2 - 5593*f**2. Let j(g) = -720*g**2. What is l(j(v))?\nAnswer: 1036800*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (588\/(-63))\/(70\/(-21)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 12*c**2. Let z(t) be the third derivative of 19*t**5\/30 + 43*t**2. Calculate v(z(y)).\nAnswer: 17328*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 225 and 50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11*15.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 2*p. Let t be -1 + (1412\/1974)\/(6\/9). Let f = t + 10\/47. Which is smaller: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 22  (b) 0.4  (c) -5  (d) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 257.68 at most as big as -1\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -11*h**2. Let c(p) = -p**2 + 2*p + 1. Let b(w) = 21*w**2 + w + 2 - 25*w**2 + 3*w. Let s(i) = -3*b(i) + 6*c(i). What is t(s(x))?\nAnswer: -396*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46837 - 252*n**3 + 2880*n - 2880*n - 46837.\nAnswer: -252*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-33)*2\/(-4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**2 - 2. Let n be r(4). Let z be n - (0 - -2) - 2. Suppose -14*g - z = -9*g. Sort -5, 3, g in increasing order.\nAnswer: -5, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -181137 * 2\nAnswer: -362274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(1\/26)*y*y\/y**(-27)*(y**(-12))**(-10\/9) assuming y is positive.\nAnswer: y**(3305\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from dmjwddddmwdwwjdwddm.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 6257, 12491, 18723, 24953, 31181, 37407?\n\"Answer: -v**2 + 6237*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 200 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -24 + 289. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*l + 0 + 0)*(146 - 582 - 564) to the form n*l + i and give n.\nAnswer: -2000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.1 - -3. Let l = 0.0151 + -278.0151. Let t = l + 268. Which is greater: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*g = -44*g - 130 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 207769390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 55 - 3 = 0. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24 and 7736568?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 562972.\nAnswer: 2, 17, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 15*q - 1 + 0 - 2*q**2 - 4. Suppose -9 = 3*r, -3 - 10 = -f + 2*r. What is the units digit of c(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 26*w**2 + 761*w + 96. What are the prime factors of r(-41)?\nAnswer: 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 6*c + 3. Suppose 30*l - 28*l - 4 = 0. Is k(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 5 = -3, 0 = 3*u - 3*q - 87. Suppose 18 - u = -r. What is the common denominator of 38\/3 and (433\/45)\/1 - 2\/r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (64\/20 - 3) + (-16)\/30. Put -1\/6, 2, a in ascending order.\nAnswer: a, -1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 934298536.\nAnswer: 2, 5279, 22123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 4697*p**2 + 4026. Let h(q) = 4*q**2 + 3. Let s(d) = 4026*h(d) - 3*i(d). Let t(x) = -2*x**2. Determine t(s(n)).\nAnswer: -8104338*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-6)\/27 - 668452\/(-24)*20\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 + 92 = 3*y. Suppose 426 + 146 = y*g. What are the prime factors of g?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81355 >= 81353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12516\/((-6)\/2)*(-13)\/26. Suppose 8*v + 6*v = r. List the prime factors of v.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (-10)\/1*10\/(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3224)\/78*(-2694)\/12*3 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 55971?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -224505 (base 6) to base 9\nAnswer: -28285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 + 2*x - 3. Let y be d(-3). Let r = 0.85 - -0.15. Which is the smallest value?  (a) 0.3  (b) r  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y**2 + 3*y**2 - y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*((-1)\/(36\/(-4)))\/1.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-20305)\/(-20) - 2\/8. Let p = g - 696. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000521635 to six decimal places.\nAnswer: 0.000522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -2*x**2 - 11*x + 1. Let o be t(-8). Suppose 3*g - g + 384 = 3*l, -4*g = -12. Let b = o + l. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -480874\/5 or -96176?\nAnswer: -96176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*k**2 + 10*k**2 - 43*k**4 + 14*k**2 + 16*k**2 wrt k.\nAnswer: -1032*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 60\/(-225)*(-6)\/(-4). Let b = -37 - -33. What is the third biggest value in -2\/7, b, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 722821 to the power of 1\/2, to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*s = 33*s - 36*s + 1856 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -567 + 738. List the prime factors of h.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21 - -16. Let h(m) = -4*m - 14. Let l be h(i). Solve -6 = t + a, t + 4*a = l - 27 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 356755379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 5*r**2 - r + 2. Give l(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -265 + 276. Calculate the lowest common multiple of 8 and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8630770 divided by -2.\nAnswer: 4315385","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - 8) + (-14 - (15 + -8)) + 4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q - 3*q + q)*(-5*q + 4*q - 5*q - q + 3 - 3 + (5*q - q - 3*q)*(-1 + 5 - 2)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -20?  (a) 0  (b) -54\/1201  (c) -4  (d) -1  (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 57.61 + -71. Round q to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1\/118 + -111\/826. Calculate the common denominator of m and (19\/(-38))\/(4\/138).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1710456 divided by 8184?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g + 4*g - 3*g)*(g**2 - 2*g + 2*g) + 2*g**3 - 2*g**3 - g**3 + 3*g**3 + 6 - 6.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 3*q**2 - 13*q + 3. Let h be j(4). Let k be h\/(-1)*3 - (4 - 6). Suppose 3622 = k*v - 4183. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -bb8990 (base 12) to base 8.\nAnswer: -13275174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 149 - 147. Which is the third biggest value?  (a) j  (b) -3\/2  (c) 3\/5  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30067 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 3950*k + 62991. Give o(-16).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10500 by -6.\nAnswer: 1750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*5*(sqrt(3) + 1)*1)**2.\nAnswer: 50*sqrt(3) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 135277, 260834, 386391?\n\"Answer: 125557*v + 9720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-14)\/d**5)\/(d*d**4)**(-12\/7) assuming d is positive.\nAnswer: d**(-73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.003*-0.7.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjjjdjdjjddodjo. Give prob of picking 1 o and 3 d.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) -4  (b) -2\/5  (c) -5\/4857\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -50\/2793 and 32\/133?\nAnswer: 2793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -27*r + 8. Let t(y) = 24*y - 6. Let z(h) = 4*c(h) + 5*t(h). Let u(b) = 5*b**2. Give u(z(n)).\nAnswer: 720*n**2 + 240*n + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 197 + -60. Let y = 667 + b. Is 40 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -5*o + 9*o. Solve -o*v = -7*v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h - 2*h + 0*h + 4*h - 9*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 69*c - 25657. Give p(372).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 49 = 138*c - 134*c, 4*c + f - 29 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 = -7*t - 51 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 u when three letters picked without replacement from uyfwuyyyfyyy.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = -8*q, 0 = 14*s - 19*s - 3*q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105 = 5*r - 115. Let z = r - 30. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -30 + 15. Let o = 985 + -990. Which is the closest to j?  (a) -0.1  (b) o  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/5, 3239862, -1 in descending order.\nAnswer: 3239862, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-12))\/((-11)\/792*6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 h when three letters picked without replacement from {c: 2, z: 6, d: 1, i: 2, h: 1}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 - 2690*k - 18857. Calculate f(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 261\/40 + -41\/8. What is the fourth biggest value in 5.3, -1, -0.2, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from {z: 1, k: 1, y: 1, b: 1, p: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -161*0.1\nAnswer: -16.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 192 and 119104.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/(-18) + (-17)\/((-459)\/2436). Suppose -97*h = -q*h - 3773. List the prime factors of h.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 61, 2, -0.9, -66, -2, 4?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2\/31 - -27\/62. Which is the closest to 1?  (a) r  (b) 5  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 251252 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 425.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*p - 9 - 25*p**3 + 2*p**4 + 7 + 12*p**3 + 14*p**3 in the form a*p + f*p**3 + q*p**2 + m + d*p**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.605512094 to 2 dps.\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 24947 and 760?\nAnswer: 997880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 841 - 2936 = -w. Does 37 divide -9*w\/(-40) - (-9)\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 0.102144?\nAnswer: 0.051072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -168291 and -8?\nAnswer: 1346328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - m - 17 = 0, -3*v - 2*m = 7 - 12. Let d = 3 - 0. Suppose -5 = -d*y + 1. Solve 2 = -2*n - 2, -v*l + y*n = -16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002521425 rounded to 5 dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 36*j**5 + 28*j**4 - 3168*j**3.\nAnswer: 4*j**3*(j - 9)*(9*j + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + 9. Solve 0 = -f*g - 0*g + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (119\/(-42))\/((-2312)\/408).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: (-6 - 42) + (23 - -1)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 1 - (8 + (-1 - -4)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -46130, -46127, -46122, -46115, -46106, -46095, -46082?\nAnswer: -46067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 7\/62  (b) 0.1  (c) 0.4  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -560*q - 5709. Determine j(-10).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (8\/(-12))\/((-4)\/102). Let j = g - 25. Let d be j\/6 + 48\/9. Solve -3*x = x + d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -441, -376, -259, -90, 131, 404, 729?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 5*w**2 - 9*w - 1. Let a = 145 + -135. Is c(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 92 and -197 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3492 by 4.\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-698)\/5*(2 - (0 - -7)). What is r rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90 a factor of 291690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*k - 2*k - 2*k)*(-k - k + 3*k + (-5 + 4 + 0)*(-k + 2*k + k) + 4*k - 3*k - 3*k + 21 - 6*k - 21) to the form n + o*k**2 + d*k and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rjjr when four letters picked without replacement from {r: 3, j: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 2 n when three letters picked without replacement from mmnmn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -900751 (base 16) in base 14?\nAnswer: -1379c65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**2 - 1100*i + 282720. Calculate w(215).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 4678918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 83 + -83.4. Which is the nearest to -1.29?  (a) 0.3  (b) t  (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 2*k + 33 = 0. Let u be (-2)\/(-20) - k\/10. What is the nearest to 1 in -0.07, 5, u?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 - 222*d**2 + 224*d + 304. Determine c(-223).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes before 9:20 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes after 2:09 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q = 5*d - 5*q - 169, 2*d + 3*q = 83. Calculate the remainder when 1362 is divided by d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1168727 and 29552097?\nAnswer: 206864679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 101070 - 53758. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 3*u**2 + 21*u - 214. Calculate the smallest common multiple of 1425 and s(11).\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 4*w. Let a(k) = -2*k. Let m = -2 + 4. Let n(x) = x**2 + 1. Let y be n(2). Let j(c) = m*s(c) + y*a(c). Let o(d) = 2*d**2. Calculate o(j(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3\/(-4))\/(1\/28). Let i be -9 - -36 - (-70 + 120). Which is smaller: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from xzzssssssszssss.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 24192 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -187 - 216a3?\nAnswer: -2187a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -617 + 617.0000498. What is l rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 541.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8827 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 3 + 37 = 0. Solve -d = k - 3*k - 5, q*k - 3*d = -10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(1900) + 0 + -3)**2 + 1 + -2*sqrt(1900) + sqrt(1900)) - (-4 + (sqrt(76) + -4)**2 + 5 + -3).\nAnswer: -2000 + 86*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) -310  (b) -0.4  (c) -1\/7  (d) 21\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -k - 7*k**4 + 5*k**4 - 4*k + 0*k**4 + 1 + k**2 as d*k + z*k**3 + i*k**2 + p + a*k**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - -11252?\nAnswer: 11251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/23, 2, -0.03, -1, 0, 1996 in descending order.\nAnswer: 1996, 2, 1\/23, 0, -0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 652803 and 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 676, 795, 912, 1027, 1140, 1251, 1360?\nAnswer: 1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.38 in 2, 0.4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - f**5 + 2 + (-186*f**4 + 484*f**3 + 428*f**3 - 2 - 911*f**3)*(f - 2*f - f).\nAnswer: 371*f**5 - 2*f**4 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + 0 + (119 - -2). Suppose 0 = 2*z - 5*z + r. Suppose 0 = -4*h - 0*h + z. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -1*-4*sqrt(117) + ((sqrt(117) + (sqrt(117) - (sqrt(117) + sqrt(117)*3) - sqrt(117)))\/sqrt(9) - sqrt(65)\/(4*sqrt(5))))**2*3.\nAnswer: -105*sqrt(13) + 47967\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of 2*h**4\/3 + h**3\/6 + 12*h**2 - 38*h. Find the first derivative of j(i) wrt i.\nAnswer: 16*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 191398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 29*o*r*t*x**2 - 3*o*r*x + o*t*x**2 - 11*o*t + o*x - r*t*x - 3*t - 3 wrt r.\nAnswer: 29*o*t*x**2 - 3*o*x - t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10 and 66473255.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:34 AM and 9:16 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -3*f - 3 - 19, v = -5*f + 10. Suppose f - 11 = 2*p. Put -4, p, 2 in descending order.\nAnswer: 2, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-2*sqrt(320) + 4 - sqrt(320) - sqrt(320))**2.\nAnswer: -1536*sqrt(5) + 30816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 16414.3 centuries?\nAnswer: 19697160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14927?\nAnswer: 11, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + -3. Let z = 0 - p. Let 0 - 4*j**3 + 0 + 2*j**z + 2*j = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjjjjjj. Give prob of sequence jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -630, -1137, -1982, -3165?\n\"Answer: -169*s**2 - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -120*f**2*x**3 - 5*f**2 + 2*f*x**3 + 1534*f*x - x**2 wrt x?\nAnswer: -720*f**2*x + 12*f*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 967523379 to the power of 1\/3, to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(15)\/sqrt(3) - (2 + sqrt(15)\/sqrt(3)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -444 - 17?\nAnswer: -45b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30 + -26. Suppose -2*x + 8 = 2*a, -a + 2*a - l = -4*x. Solve -4*m + 8 = 3*u - 4, x = -2*m + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**2 + 82*y + 2791. List the prime factors of j(0).\nAnswer: 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.6?  (a) -75362  (b) 7  (c) 3\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9*b**2 + 5*b**2 + 8*b**2 + 6)*(-3*b**2 - 2*b**2 + 4*b**2) in the form t*b**3 + h*b**4 + j*b**2 + v*b + m and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -24 + 61. Suppose 33*y = q*y. Solve 2*h - 7*h - 5 = y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/6 + (-6)\/9. Let h(z) = 2*z. Let j(d) = 1. Let p(t) = h(t) + 3*j(t). Let f be p(2). Solve -4*m + f*m + 9 = w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 137 = 103. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z - 6. Let o be q(-5). Let s be (-9)\/3 - o*2. Let j = 2522 + -2527. What is the closest to s in -2, 4\/5, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/6 in -3\/4, 437700\/11, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from {h: 3, f: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 + 2*o**2 - 7 + 7*o**2 - 1 + 9*o - 2*o. Let p be w(-8). Solve p*n = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 h when three letters picked without replacement from hhhkhwswk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -360 - -380. What is the derivative of -10 + 12 + 79 + 87 + q + 62*j wrt j?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 - 10*u**2 + 10*u - 7. Let d be l(9). Suppose 0 = -5*k + 2*i + 30, d*i + 26 = 4*k - 0. What is the highest common factor of k and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*t - 306 - 186. Let j = -44 + t. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43676.1 times 0.4\nAnswer: 17470.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -3. Let j = -168261 - -504787\/3. Which is the smallest value?  (a) j  (b) i  (c) 0.2  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24 + 4*q**4 - 5*q**4 - 5*q - 25*q + 24 - 70*q**3 to the form c*q + i*q**4 + d*q**2 + h*q**3 + n and give h.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 34 = -94. Let c be (3\/r)\/(-2*(-1)\/(-8)). What is the nearest to 1 in c, -18, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12 by -1104.\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1325 (base 6) to base 8.\nAnswer: -525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11289 or -11112?\nAnswer: -11112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 2, 0.9, -3\/14, -1.\nAnswer: -1, -3\/14, 2\/5, 0.9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hah when three letters picked without replacement from ahhhahhhh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*y**2 - 8*y**2 + 2*y**4 + (80 - 13 + 2)*(32*y**4 + 24*y**4 - 49*y**4) as g*y + p*y**3 + w*y**2 + f*y**4 + c and give f.\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r. Let k(n) = -2*n. Let u(a) = -k(a) - 3*t(a). Let v(i) be the second derivative of 487*i**4\/12 + 11415*i. Determine v(u(p)).\nAnswer: 487*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-8)\/(-5))\/((-6)\/(-135)). Suppose -a + p + 98 = 0. Is 134 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand r**4 - 1 + 1 - 15*r**4 + 11*r**4 - 11*r**4 + (-4 - 2*r**2 + 4)*(3*r**2 - 3*r**2 + 5*r**2).\nAnswer: -24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 34.42+-0.092\nAnswer: 34.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15743 = 26*m - 14001 for m.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22)\/(-3)*(-234)\/(-429).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 63, 129, 195, 261, 327, 393?\n\"Answer: 66*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 79*r + r - 1094327*r**2 - r**3 + 3*r**3 + 431*r + 1094328*r**2 to p + c*r**2 + u*r**3 + f*r and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3 + sqrt(1539) + ((sqrt(19) + (6*sqrt(19) - sqrt(19)))*6)**2).\nAnswer: 54*sqrt(19) + 147726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 23068332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 3*l + 2*l - 5*n, -5*l = -n - 33. Suppose 0 = l*t + 686 + 3864. Let s be (-3)\/(3 - -9)*t*-12. Round s to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2340 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5*1*((-62)\/10 - -7). Suppose -d*x + 66 = r, -3*x + 13 = r - 52. What is the common denominator of -38\/11 and 33\/(-231) + r\/56*6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 451 - 371. Calculate the remainder when o is divided by 47.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15313332753\/4880 - -3137978. Calculate the common denominator of n and 56\/915.\nAnswer: 14640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81685485 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/5  (b) 0  (c) 1  (d) -1\/6  (e) -5  (f) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 109826002133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 203725051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the first derivative of w**4\/4 - 3*w**3 + 3*w**2 + 5*w + 1. Suppose 19*m = 9*m - 10. Let j(v) = -v**2 + v + 1. Determine m*y(l) + 6*j(l).\nAnswer: -l**3 + 3*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 3*r - 28 = -0*b, 0 = 3*b - 3*r - 42. Let c(m) = 11*m + 9 + 4*m - m**2 + 5*m. List the prime factors of c(b).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 17 = -y, -y + 19 = 2*y + 4*u. Let g be -2*((-42)\/(-35) - y). What is the nearest to g in -1\/7, 8, 7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 0.01  (b) 26  (c) 23  (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 50459265 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 106 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -46658 - -46538 - (-111 + 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*r**3 - 72*r + 19*r + r**2 + 2 + 28*r + 19*r as m + o*r**2 + g*r + u*r**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -101101 (base 2) to base 5\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.2 - 3.8. What is the closest to 0 in u, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.08398 times -2\nAnswer: 0.16796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 - (-721 - (0 + -7)). Suppose -16*r + p = -116. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*-12441\nAnswer: -62205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 4 + -7 - -11 - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -45*k**3 - 3*k**2 + 2. Let s be l(-2). Let r = s + 485. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1839487883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34623, -2, 2 in decreasing order.\nAnswer: 34623, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*i**5 + 12*i**4 + 24*i**3 - 32*i**2 = 0. Calculate i.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -5*g**3 + 11365*g**2 - 2231860*g + 21187100 = 0?\nAnswer: 10, 206, 2057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2311802 (base 9) to base 13\nAnswer: -349058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -67 (base 8) to base 11.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 745551 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 20418*g**2 + 38*g - 83. Is u(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 662 + -397. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 201 is divided by 89.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 130.15 and 0.0667.\nAnswer: 8.681005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 3*j - 109 = 0, -3*j = 2*r - 0*r - 59. Calculate the remainder when r is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 AM and 5:02 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -6*q + 3*q - 11 + 6*q + 24. Let r be v(-4). Let a(s) be the second derivative of 3*s**5\/20 + s**4\/6 - s**2\/2 + 2*s. Determine a(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-2) - (-28)\/(-16))*-8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-4)\/8)\/((-111)\/(-6)). Is 0 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggtgtgtgtvvgggt. Give prob of picking 2 g.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from nwnwwwtwwwwwww?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/24 and -65\/372.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 5*c = 10, 5*c + 57 = 5*p + 7. Let d(w) = 17*w**3 - 8*w**2 + w + 9. Is d(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22815901, 22815903, 22815905, 22815907?\nAnswer: 22815909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate i**3*r*s - 96*i**3*r - 35*i**3*s - i*s with respect to r.\nAnswer: i**3*s - 96*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14022907237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 13*u**2 + 4*u + 8. Give s(-2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -28.7 times 0.10218?\nAnswer: -2.932566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2756389031 to the nearest integer?\nAnswer: 52501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 4\/24 + (-4795)\/3822 + 41\/(-287)\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*v + 6*v + 7512 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -487977, -487976, -487975, -487974, -487973?\n\"Answer: c - 487978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 - -9) + -4 + 0 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2*(-1 + -1 + 4). Is f\/(-1 + 3) - -37 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*x + 6*x - 302 - 6*x + 302.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 27*m**2 + 250*m - 214. Calculate d(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(64))\/sqrt(8) - 2*sqrt(392))\/(-2*sqrt(64)*1))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6592, -6593, -6594, -6595, -6596?\nAnswer: -6597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 20*n*o + 10*n + 6993*o wrt n.\nAnswer: 20*o + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**10\/i**25 assuming i is positive.\nAnswer: i**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 945 is divided by 306?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 - 6*y**2 + 4*y - 7. Let n be f(5). Let q be (9\/n)\/((-12)\/64). Solve 2*m + q = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/23, -2\/29, -5, -2\/77 in increasing order.\nAnswer: -5, -2\/23, -2\/29, -2\/77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-904)\/(-10) - (-8)\/(-20). Suppose -36 = 3*w - r. What is the third derivative of n**2 + 12*n**2 - 2*n**2 + w*n**4 - n**2 wrt n?\nAnswer: 432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4849381 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-55*g + 35*g + 180*g)*(-3689 + 3689 - 77*g) in the form p + r*g**2 + w*g and give r.\nAnswer: -12320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 + 26*n**2 + 47*n - 13. Calculate a(-24).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 3, 26, -19, -1195 in increasing order.\nAnswer: -1195, -19, 2, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -3*k - 64. Let y(i) = 280*i**2 - 3*i + 38. Calculate s(y(o)).\nAnswer: -840*o**2 + 9*o - 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pxxp when four letters picked without replacement from xppxpppppppxpp.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1552807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -21\/89, -20 in descending order.\nAnswer: 0.5, -21\/89, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 6) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 13*b. Let d(k) = -19*k**2. Give x(d(f)).\nAnswer: -247*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 6*i**2 + 10. Let w(z) = z**2 + 1. Determine -f(s) + 8*w(s).\nAnswer: 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n + 5*q = -n + 157, -77*n + 72*n - 200 = -5*q for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6 - 2)*(-1)\/(-10). Let y = -11\/15 + d. Put -5, -0.4, y in descending order.\nAnswer: y, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0\/(2\/((-8)\/4)). Let v = -6 + 6. Suppose v = 3*s - 3. Put s, -2, f in ascending order.\nAnswer: -2, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/3086083 and 63\/5.\nAnswer: 15430415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-130)\/(-2) + (-2398818)\/36976.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are -18827 and -18778 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(475) + -3 + -2 + 1*1*sqrt(475) - ((3*(sqrt(475) + -1 + sqrt(475)) - sqrt(475) - (sqrt(475) - (sqrt(475) + 1))*4) + 0))**2*-1.\nAnswer: -4311 - 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -271\/3 - -93. Let n be (8\/(-30))\/((-8)\/20). Find y, given that 4\/3*y + v*y**3 + n*y**4 + 0 + 10\/3*y**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**2 - 5718*l - 2001384.\nAnswer: -3*(l + 462)*(l + 1444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -b + 12, 3*b = -2*i + 5 - 2. Suppose 4*v = -b*c + 1, -5*v + 5*c = -0*c - 10. List the prime factors of (1 + v)*-57*(-3)\/18.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:27 AM and 3:38 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 192728 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -190818, -190811, -190804?\n\"Answer: 7*h - 190825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f + 1. Let j(w) = 2*w + 8. Let a(p) = 5*p - 11. Let h(t) = a(t) + 2*j(t). Give h(i) - 4*s(i).\nAnswer: 5*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/8)\/(60\/(-840))*((-8)\/280)\/1.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*g = g - 48 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 23*w**3 + 6*w**2 - 13*w - 15. Let t(m) = m**2 - m - 2. Let d(x) = -f(x) + 5*t(x). What is the second derivative of d(n) wrt n?\nAnswer: -138*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 207 = 8*t + 79. Let b(l) = 168*l + 58. Is b(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 144 and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t**3 + 2*t**4 - t**3)*(0 + 1 + 1) - 3*t**3 + 2*t**4 + 3*t**3 + (-92*t**3 - 118*t**3 + 259*t**3)*(0*t - t + 2*t).\nAnswer: 55*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2030332 - -2?\nAnswer: -2030330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of -2*t**5\/25 + 3*t**4\/10 - 2*t**3\/15 - 3*t**2\/5 + 4*t\/5 + 3. Let d(y) = 0. Calculate y.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/1*-10*(2 + -1). Which is the biggest value?  (a) 5  (b) 3\/8  (c) f  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.08 - -0.22. Let q = 19.8 + -20. Let b = 2675\/11 - 243. What is the closest to -1 in b, j, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**9)**16\/(i**(1\/10)*i*i**(-1\/2)) assuming i is positive.\nAnswer: i**(797\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = 4*m + 4, 4*x = x + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s. Let c(h) = h**2 - 4*h - 1. Let p(f) = c(f) + 4*k(f). Let i be p(2). Calculate the greatest common divisor of 9 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 + -130 - (-1 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 45267466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -19 and -38?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of f*j**3*z + 11*f*j**3 - 6*f*j**2*z - f*j**2 - 50*f*j*z - 41*f*z - 1371*j**3*z - 2*j**3 wrt j.\nAnswer: 6*f*z + 66*f - 8226*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l**4 - 84460*l**3 + 1519065*l**2 - 6833970*l = 0. What is l?\nAnswer: 0, 9, 16874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/1196 and -33\/23.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - a + 4 = 0, -3*n - a + 20 = 4*a. Let r(m) = m**3 + 45. List the prime factors of r(n).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2184, -4183, -6182?\nAnswer: -8181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**3 - 45*j**2 + 2*j + 92. Let l be v(-45). Let w(k) = -21*k + 2. What is w(l)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2051756 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -2*m + 181. Give o(36).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 - 18)*8\/(-6). What is the greatest common divisor of j and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 22a5 - b?\nAnswer: 2297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -38*z**3 + 3*z**2 - 12*z. Let d(n) = 38*n**3 - 4*n**2 + 13*n. Let a(t) = 3*d(t) + 4*k(t). What is the second derivative of a(m) wrt m?\nAnswer: -228*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -8*j - 83. Let o be t(-11). What is the second smallest value in 0.02, o, -1\/4, 2\/9?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q - 2. Let c(a) = a + 1. Determine -5*c(f) - 3*u(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -39*a + 3*a - 9*a to the form s*a + u and give s.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 7:14 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes before 8:31 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 72*q + 49. Is n(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.545, -0.04, 0.1, 3 in decreasing order.\nAnswer: 3, 1.545, 0.1, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = -4*n + 1. Let y = n + -3. Suppose 0 = 3*v + b - y, 4*v - 11 = -b + 5. Let z(h) = h**2 - 7*h + 5. Determine z(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes before 6:43 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -138096 by 69048.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -20268*i**2 + 12708*i - 244818095?\nAnswer: -40536*i + 12708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, n: 11}. Give prob of picking 1 n and 1 l.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + -5. Suppose -7*b + o*b = -25. Solve 2*a + 4*n - 10 = 0, -b*n + 7 = 4*a - 10 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 874476 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*a**2*k**2 - 4*a**2*k + 3*a**2 - 23357*a + 79771*k**2 + 270 wrt k.\nAnswer: 8*a**2*k - 4*a**2 + 159542*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 12, -34, 3\/7, 0.2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 634\/11  (b) 4.8  (c) 4  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -h - 189. Let b = h + 66. Solve -3 = 5*u + b*x + 7, -10 = -2*x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -7*w**2 + 2*w - 2. Let v be i(1). Let c(j) = -2*j**3 - 4*j**2 - 10*j - 10. What are the prime factors of c(v)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + 55. Let n(z) = 3*z**2 + 40*z + 114. Let a be n(-3). Calculate the greatest common factor of i and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 161550534 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-15 - ((-15974)\/840 - -4))\/(8\/60)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 4, u: 2, l: 1, i: 4, j: 3}. What is prob of picking 2 r?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-115 + 15 - 9)*(2*i + 3*i - 4*i)*(-1 + 0 + 3)*(-2 - 2 + 2).\nAnswer: 436*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2  (b) -62  (c) 13  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -21223*c**4 - 22113.\nAnswer: -84892*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (-1*sqrt(72)*6 - sqrt(72)))**2 + (sqrt(800)*3 + sqrt(800) - sqrt(800))**2 + sqrt(800) + -3.\nAnswer: 356*sqrt(2) + 10741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.152 + -1.828. Let a = 0.02 - d. What is the third biggest value in a, 3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -90) + 178 + -362?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 26066056.6 rounded to the nearest one hundred thousand?\nAnswer: 26100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 81 + -63. Let y(q) = -2*q**2 + 34*q + 39. Let j be y(s). Suppose -j*u + 44 = -91. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(2\/7)\/o)**(-31))**(-32)\/(o**(1\/12)\/(((o**(1\/5)\/o)\/o*o)\/o)*(o**(1\/4)\/o)**(6\/7)) assuming o is positive.\nAnswer: o**(-298121\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 204883 is divided by 566.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - z - 165 = 0, 2*w + z = -2*z + 110. Suppose 0*u - 4*u + 23 = b, -5*b + 5 = -2*u. Suppose c = -1 - 0, f - w = -u*c. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y = -3*i + 38, -174*y + 175*y = -5*i + 34 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**2\/3 + 32092*o\/3 + 21400.\nAnswer: -4*(o - 8025)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 6*c + 29. Let u be i(-4). Find the second derivative of l**u + 287*l + 12*l**2 - 1 - 295*l + 3*l**5 wrt l.\nAnswer: 80*l**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u + 0*u + 2*u)*(-2*u - 3 + 3 + (-352 - 26 - 65)*(2 + 2*u - 2)).\nAnswer: -1776*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2163163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 108 + 93. Which is smaller: c or 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of -2*m - 1\/2*m**2 + 0 + 0*m**3 + 7\/12*m**4. What is the least common multiple of 3 and q(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97781149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 19?  (a) 82  (b) 0.5  (c) 2  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0297 + -5?\nAnswer: -4.9703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 + 13. Suppose 5*c - m*s = 114, 0 = -5*c + 4*s + s + 105. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 14 = 3*q, -33440*q = -33442*q + x - 18 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -1990*l + 976*l + 994*l. Let j(f) = 19*f. Calculate 3*j(x) + 2*z(x).\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1736 (base 8) to base 6.\nAnswer: 4330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 1511 = 3*h - 1483, -3002 = w + h. Round w to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22.29 + -0.29. Let z = -0.092 - 14.408. Let h = v + z. Round h to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**3 - 12*q**2 - 7*q + 43. Let s be a(13). What is the highest common divisor of s and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -95, -215, -417, -701, -1067, -1515, -2045?\n\"Answer: -41*s**2 + 3*s - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11527181 or 11527188?\nAnswer: 11527181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6289*u = 6279*u - 110 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 - 16*h**2 - 31*h + 5. Calculate w(-14).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/2195674 and 42\/422245?\nAnswer: 10978370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3\/356 - 5011\/3204. Calculate the common denominator of -113\/14 and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f - f + 2*f + (0*f + 5*f - 3*f)*(0 - 4 + 2) + f + 0 + 0 + f - 5*f + 2*f - 3*f + f + 3*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 17\/6 of a minute?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 - 0. Suppose 2*w = -s*k + 25 + 17, 0 = -5*k - w + 41. Suppose -u - 2 = -f + 13, -2*u - k = 0. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 13, a: 3, u: 2}. What is prob of sequence uu?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -253*h**2 + 254*h**2 + 2 + 6*h + 2*h - 9*h**3 in the form z*h**2 + o*h**3 + g + m*h and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -144 - 272. Let r = 971 + g. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3496, 3504, 3510, 3508, 3492, 3456, 3394, 3300?\nAnswer: 3168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - 8 - (-1 - (-38 - -75))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 15 - 3*x - 7*x - 4362*x**2 + 4363*x**2 wrt x?\nAnswer: 2*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 257 and 18247.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 19 - 3 = 2*q + 1, -2*s + 2 = 4*q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 60720205, 60720207, 60720211, 60720217, 60720225?\nAnswer: 60720235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 + c**2 + 4*c**2 + 2*c - 1. Suppose 128*d = 131*d - 18. Suppose -7*s + d*s + 1 = 0. Determine m(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -6*n**2 - 2*n + 2*n**2 - 3*n + 2*n**2 - 7*n**2. Let g(b) = 3*b**2 + 2*b. Suppose -3*c + 4*c + 3 = 4*u, -4*c - 23 = -5*u. Determine c*g(o) - 2*m(o).\nAnswer: -3*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 143 divide 5005715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0, 2054, -0.3, 2, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l - 3 + 3)*(46168 - 14*l + 3*l - 18*l - 46213).\nAnswer: -58*l**2 - 90*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 2\/21021?\nAnswer: 2\/21021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 987.8952ug in milligrams?\nAnswer: 0.9878952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + 7. Suppose 0 = -2*m - r + 13. Solve -6 = -2*n - m*d - 25, 5*n = 3*d + 30 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 104455 - 103994.37. Let c = q - 461. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * 728.\nAnswer: -2184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llxd when four letters picked without replacement from eddldldlxdl?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 857, 816, 761, 686, 585, 452, 281?\n\"Answer: -f**3 - f**2 - 31*f + 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = 3*h - 20, 4*r + 5*h = 3 + 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/2 + (-2)\/4 + ((-619164)\/91)\/189?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 68312045*m**2 - 268102*m - 68 wrt m.\nAnswer: 136624090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 42, 84, 130, 180, 234?\n\"Answer: 2*h**2 + 36*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 27 - 40 = -5*l, 5*l - 129 = -26*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15841 is divided by 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 514367?\nAnswer: 7, 197, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**5 - m. Let l(n) = 2*n**5 + n**4 - 2*n**3 - 2*n**2 + 1. Let t(s) = g(s) - l(s). Solve t(i) = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16.08 - -13. Let m = 2 - 1.92. Let h = m + p. Which is the second biggest value?  (a) -4\/9  (b) 0  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8, -12, -28, -56, -96, -148?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (7 - (4 - 3 - 0)) + (1050 - 976) + 8\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 9*t - 56. Let b be q(6). Put 4, 1, -4, b in decreasing order.\nAnswer: 4, 1, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1836 is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 8*x - 89. Solve c = 5*c - x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2 + 2*t - 4. Let u be o(-4). Solve m + 4*c = 6 + 9, 16 = -u*m + 3*c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 23 = -3*x, -5*y + 18 + 2 = 4*x. Let p(h) = 14*h - 55. What are the prime factors of p(y)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-12)*(-66)\/22\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3\/2 - 27855*b**2 + 222866*b - 334308.\nAnswer: -(b - 6)*(b - 2)*(b + 55718)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 68\/41175 and -139\/30.\nAnswer: 82350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = -261*u + 252*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 255849487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 368 divide 2144088992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-63 - -61)*(-2)\/(-12)*2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (4*(sqrt(44)\/sqrt(2))\/sqrt(11) - 1*(sqrt(98) + sqrt(98) + 3))**2)*-6.\nAnswer: -1230 - 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*4*sqrt(1053))**2.\nAnswer: 269568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -28, -2536, 6\/691 in increasing order.\nAnswer: -2536, -28, 6\/691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*g + 30 = c + 9*g, 0 = -5*c - 4*g + 5. Solve -7*z + c*u = -5*z - 28, 5*z + u - 16 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-56)\/(-21) + 120\/(-18) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of 3*o**5\/2 + 483*o**4\/4 + 374*o**3 + 186*o**2 + 5699. Let p(s) = 0. What is s?\nAnswer: -62, -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 + 3*t + 2. Let c(o) = 4*o**2 + 13*o + 8. Calculate 2*c(n) - 9*g(n).\nAnswer: -n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20765, -20761, -20757, -20753?\nAnswer: -20749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82*h + h**3 + 9*h**3 - 82*h.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 3*w**5\/5 + 132*w**4\/5 + 1647*w**3\/5 + 6318*w**2\/5 = 0?\nAnswer: -26, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 146 divided by -895.\nAnswer: -146\/895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7 - 0 - (-19 - -26). Sort -2, -10, y, 6 in decreasing order.\nAnswer: 6, y, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44633226 (base 8) in base 15?\nAnswer: ca88e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 6:40 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 - 7*f**2 + 2030*f - 6087. Give m(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27 - 47. Let s = -18 - p. Which is the closest to s?  (a) -5  (b) 1\/4  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -372 or -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -3*j**3 + j**2. Let g be r(-1). Let y(p) = p**3 - 5*p**2 + 3*p - 2. Let s be y(g). Let a be (-7)\/s - 1\/6. Solve a = 2*v - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*l**3 + 0 - 1 - 1 as w*l**2 + m*l**3 + f + o*l and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g - 5. Let v be f(-10). Let w = -6 + 16. Suppose -2*x + 4*k - w = 0, 0 = -2*x - v*k + 2*k + 25. Round x to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -7 + (-15 - -21) - -12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*o**5 + 3*o**5 - 6*o**5 + (3 - 3 - 2*o)*(-1 + 1 - o**4).\nAnswer: -11*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/6 + (-56)\/6. Let t(d) = -2*d - 5. What are the prime factors of t(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -250, -399, -652, -1015, -1494, -2095, -2824, -3687?\n\"Answer: -u**3 - 46*u**2 - 4*u - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -46333 by 5.\nAnswer: -46333\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5166 + -5161. What is the smallest value in 3.4, -2, 4, z, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*q**2 + 0 - 11\/2*q.\nAnswer: -q*(q + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x**2 + 2*x**2 - 2*x**2 + (-4*x + 3 - 3)*(-3*x + 4*x - 2*x))*(-2*x + 2*x - x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 0.2, -0.1, -22.\nAnswer: -22, -0.1, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4508)\/322)\/(2\/(-5))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2540)\/(-90) - 7) + (175\/63 - 3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*h + 9*h - 60 = 0. Is h equal to -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 40 + -38. Let 740 + 2*j**n - 740 = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 17 + 2 - 14*j + j. Let l(p) = 2*p**2. Calculate l(s(r)).\nAnswer: 338*r**2 - 988*r + 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 28*i**3. Let a(y) = y**2 - 11*y + 11. Let c be a(10). Is t(c) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 287958004 by -261068.\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2395 in 1\/3, 8, 2\/9, 2\/17?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*t - 2*v + 41102 - 41119, -5*t - 437 = -201*v for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-74)\/(-37)*(0 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 22 - 10. Suppose 2*h + 19 = 6*h + x, 2*x + k = 2*h. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 4*u**4 - 32*u**3 - 32*u**2 + 384*u + 576 = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -1 + 404*l**2 + 406*l**2 - 805*l**2. Let z(v) = 8*v**2. Give z(u(m)).\nAnswer: 200*m**4 - 80*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -10*s**5 + 56*s**4 + 264*s**3 + 356*s**2 + 194*s + 36 = 0.\nAnswer: -1, -2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 3*r**2 - 54*r + 842. What is the ten thousands digit of o(-71)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-850)\/(-14) + -1*4\/(-14)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 5*r + 2*o - 1181, 4*o = 5*r - 1183. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 14 - 32 = -3*k, 0 = -k - 4*i + 24. Suppose k = -5*x + 3*t, 2*x + 7 = t - 0. Sort 5, 0, x in decreasing order.\nAnswer: 5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108)*3)\/sqrt(9))\/(sqrt(6)*3*5)*-4 + 2.\nAnswer: -4*sqrt(2)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -67252.\nAnswer: -3\/67252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3.69 + -0.0531\nAnswer: 3.6369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9743?\nAnswer: 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (24 + 2 + (-29 - -25))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6\/8 + (-418)\/(-8).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000631728863 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -7\/8, 3, 5, 4\/9 in increasing order.\nAnswer: -7\/8, 4\/9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*1*2\/(-2). Let a(y) = 3260*y. Let x(f) = 4*f + 1. Let q(z) = -a(z) + 3*x(z). Is q(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14311 is divided by 7150?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -407 - -417. Let q be 22\/k - (-6 + 279\/45). Solve -1\/10*c**q + 0 + 3\/5*c = 0 for c.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 207 - 49 = 0. Let b(s) = 5*s - 13. Let w be b(-5). Let r = w + p. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(55)\/sqrt(20))**2 - (-4 + sqrt(1331) + 4))*-5.\nAnswer: -15\/4 + 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -29*m**2 + 294*m - 293. Calculate t(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of j**4\/4 + j**3\/3 - j**2\/2 + 35*j. Let s be i(2). Suppose -11*t = -s*t + 6760000. Round t to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1331571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in seven eighths of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 674697804 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(832) - (sqrt(832) + (sqrt(832) + -1)*-3)) + sqrt(832))**2 - (-1 + sqrt(1872))*-5.\nAnswer: -132*sqrt(13) + 13316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.225 times -3.03983\nAnswer: -0.68396175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20114 + 110?\nAnswer: 20224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 20, f - 4*b + 256 = 2918. Is 113 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r + 35. Let t(g) = -7. Calculate -11*t(v) - 2*y(v).\nAnswer: -2*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyqyiqqqxyxqqqxy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13.9518 + -0.0482. Let h = 19 + t. Sort h, 1\/5, -1\/6, 3\/11 in ascending order.\nAnswer: -1\/6, 1\/5, 3\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3111\/11 + 283. Let q = 807\/8 - 101. Let u = 0.1 + 0.9. Which is the smallest value?  (a) w  (b) u  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + 1. Let a be (-2)\/(-4) - 2\/g. Solve i - 2*i - 3 = a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -z**2\/4 + 4335451*z\/4 = 0?\nAnswer: 0, 4335451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/7*(-11 - (4 - 1)). Suppose -18*a - t = -23*a + 11, -f*a + 4*t = -12. Solve 7*z - 2*z - a*u = 35, 35 = 2*z - 5*u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 28 + -53. Let m = 17 + i. Let l = 4 + m. Is l at least as big as -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 76\/(-18) + (184\/18 - 31)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 4*k + 6, 3*w - 5 = k + 24. Suppose 2*s - s + 2*i = w, -s = i - 7. Solve 0 = 2*m + 3*m + 3*t - 13, -t = s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 106\/5  (b) 2  (c) 4\/7  (d) -0.3  (e) 1\/4  (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1096586?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -217*f. Let w(v) = -v. Give k(a) + 4*w(a).\nAnswer: -221*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of 4 + 0*s + 0*s**2 + 0*s**3 + 1\/15*s**6 - 4\/25*s**5 + 1\/10*s**4. Factor y(u).\nAnswer: 2*u**3*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2643, -3532, -4421, -5310, -6199, -7088?\nAnswer: -7977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6262300 and 13200.\nAnswer: 75147600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 861683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 126*r - 4360608 = 28*r. List the prime factors of r.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*z - 7 + 3 + 8*z)*(31*z**4 - 39*z**4 - 45*z**4).\nAnswer: -53*z**5 + 212*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001841999 to six dps.\nAnswer: -0.000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrsrrrrsrrrr. Give prob of sequence ss.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.1, 1\/3, -118396.4, 2, 3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 648271551\/28600 - -1569548\/325. Let s = w + -229705\/8. Let q = -1218 - s. Calculate the common denominator of -47\/17 and q.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 4 - 18*m**3 + 14*m**3 + 5.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(-7) - 4\/(-70). Sort 1, 0, m in decreasing order.\nAnswer: 1, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 267*z = -349*z - 17248 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1280 - 456. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 1 - f**2 - 246*f + 1 + 247*f. Let n = -3 - -5. Let j = n - 4. What is p(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 52 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/11  (b) 4  (c) -1\/2  (d) 3  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + -3. Let h(j) be the first derivative of -4*j**2 + 1 + 1\/3*j**3 - 5\/4*j**4 + 0*j. Let x(l) = -l**3 - l. What is s*h(o) - 6*x(o)?\nAnswer: o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 14*m = 15*m - 1, -2*m + 2 = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-30)*(-39)\/((-1326)\/170).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = f + 3, -7*f = -4*z - 2*f + 13. Let x(i) = -3*i**2 + 2*i**z + 4*i**2 - 4*i**2. Let c(u) = -15*u**2. Calculate c(x(h)).\nAnswer: -15*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 5:40 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 8  (b) 1\/7  (c) 9849\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/66994 and -50\/9073.\nAnswer: 14135734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 49\/(-245) - 172\/(-10). Let u(x) = 42*x - 1. Let m be u(2). Suppose -c = 3*k - m. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.6 and -0.64?\nAnswer: -0.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9 - -20. Suppose 21 = a - h. Calculate the greatest common factor of a and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89288.55ms in hours?\nAnswer: 0.024802375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -5*x**3 + 15*x**2 - 19*x - 5. Let k(c) = 2*c**3 - 7*c**2 + 9*c + 3. Let z(v) = -7*k(v) - 3*w(v). Let s = -65 + 60. Calculate z(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 10073 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of -7722*f**5\/5 - 2745*f**2\/2 + 7657. Find the second derivative of t(i) wrt i.\nAnswer: -92664*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*m - 2*g + 10, 22*m - 2*g = 19*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -105*y**2*z**2 + 2*y**2 + z**2 - 205 with respect to y.\nAnswer: -210*y*z**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7664 and 37491.\nAnswer: 287331024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -9d67 - -5d?\nAnswer: -9d09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - -34?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 8219190871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -411.51 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -335*a + 534*a = -995 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 AM and 6:45 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9\/2?  (a) -0.5  (b) 1  (c) 1\/3  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.01349153 to four decimal places.\nAnswer: 1.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 2 = 8. Let q = -3 + k. Solve -5*r + 19 = -q*p, -5 - 11 = -2*r + 4*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-110 - -112) + -91 + 161.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12100022 - -10?\nAnswer: 12100032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 63498767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**2\/9 + 38*h\/9 + 13\/3.\nAnswer: -(h - 39)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 376041 and 978.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 98692\/141 smaller than 700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (2\/3)\/((-12)\/(-1998)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/19, -0.09, -0.18, -4, 11\/3, -2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 9*v + 9. Let o(k) = 4*k - 6*k**3 + 3 - k**2 - 2 + 3*k**2 - 2*k. Let d be o(-1). Let s(r) = 4*r + 4. Determine d*s(f) - 3*l(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 41530\/3 - 13843. Let o(z) be the first derivative of -z**2 - 2 + d*z**3 + z. Factor o(f).\nAnswer: (f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -157\/12 - 3439\/60. Let j = 699\/10 + w. What is the nearest to 14 in 5, 4, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 401649198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) - (sqrt(432) + (0 + sqrt(432))*5)**2) + (-1 + sqrt(48))**2 + (-2*sqrt(27))\/sqrt(9).\nAnswer: -15503 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.1569 + -1.1569. Which is the fourth smallest value?  (a) t  (b) 0.1  (c) -7\/44  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1291044.\nAnswer: 2, 3, 271, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the second derivative of x**6\/360 - 7*x**4\/72 - x**3\/3 - 20*x**2 - 8*x + 2. Let f(h) be the first derivative of n(h). Factor f(o).\nAnswer: (o - 3)*(o + 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*b + 0)*(-49*b - 2 + 71*b - 42*b) - 205*b**2 - 8*b**2 + 113*b**2 + (4*b**2 - 3*b**2 - 3*b**2)*(0 - 2 + 1).\nAnswer: -138*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 640484?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 + -3 - (-14 + 4). Suppose -2*i + 5*w + 8 = -15, 2*i = -d*w - 4. Solve -3*s - 14 = -i*f, 6*s = f + s - 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (35\/20)\/((-3)\/24). Let p(m) = m + 1. Let f(i) = 8*i + 7. Let r(j) = s*p(j) + 2*f(j). Let y(a) = 5*a. Determine y(r(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 h, and 1 x when three letters picked without replacement from {x: 9, r: 1, v: 7, h: 2}?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -923*k**4 - 2284*k**4 + 4544*k**4 + 0*k**3 + 0*k**3 - k**4 + (-2*k**2 + k - k)*(0*k - 2*k**2 + 0*k).\nAnswer: 1340*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) -1270  (c) -2  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-2 + sqrt(2)) + sqrt(2) + (sqrt(98) + sqrt(98) + 1)**2.\nAnswer: 27*sqrt(2) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**2 + 8*y + 65. Let x be v(13). Suppose -18*c + 23*c - 55 = x. What is the remainder when (42\/10)\/((-2)\/(-10)) is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18.1 - 22.18. Let y = 0.08 + t. Let x = -2 - -2. What is the nearest to -1\/3 in y, x, -5\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 6*f + 7. What is the tens digit of (-86)\/(-3)*(-3)\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (64\/(-28))\/((-5)\/(-1)*31\/((-1860)\/(-24))).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 = -7*i + 310. What is the second derivative of i*k**4 - 28999*k**3 + 28999*k**3 + 79*k wrt k?\nAnswer: 672*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*f - 86 = 26*f. What are the prime factors of f?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cvxqvfz. What is prob of picking 1 q, 1 f, and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/4 + 751*j**2\/4 + 1495*j\/4 - 2247\/4.\nAnswer: (j - 1)*(j + 3)*(j + 749)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17 - -6) + 9 + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -94968768 divided by 192\nAnswer: -494629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 150938392 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 5988.984 tonnes in kilograms?\nAnswer: 5988984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 864\/3024*7\/(-2)*(1 - 3). Let x(p) be the first derivative of -1\/3*p**3 + 1\/2*p**j + 4 + p. What is x(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -251 - -284. Suppose -b*v + 1122 = v. Calculate the remainder when 33 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000640207426 rounded to 6 dps?\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -477015 - 4?\nAnswer: -477021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -134*v + 130*v + 12, n = 3*v - 1. Let i(l) = 19*l**2 + 8*l. Give i(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 24079.9 to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13350*m = -13335*m - 90 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 227 (base 13) to base 11.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -w + 10. Suppose w = -0*z + z. What is the smallest common multiple of z and (1 - 3)*(0 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -21*h**3 + 8 - h**2 + 22*h**3 - 2*h**3. Suppose -a + 3*b - 9 = 0, 5*a + 8*b - 3*b - 15 = 0. List the prime factors of d(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.52 times 0.14\nAnswer: 0.0728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dq when two letters picked without replacement from dxeqddereqxodddxd?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -31, 51, -5 in ascending order.\nAnswer: -31, -5, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35144 (base 14) to base 11.\nAnswer: 890a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -470*l + 128*l + 126*l + 61*l + 133*l.\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 11 = z, 4*c - 4*z + 18 = -2*z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes after 9:42 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -49.48, 3, -1, 9, -4 in descending order.\nAnswer: 9, 3, -1, -4, -49.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26092 is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.483*685.31.\nAnswer: 331.00473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 68 + -67.983. What is z rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3*5214\/168 + 2. Let f = 517\/7 - d. Find the common denominator of f and -17\/78.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49013623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-117)\/(-156))\/((-1)\/(-128)). Calculate the greatest common divisor of 2208 and s.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28854 is divided by 73?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gcgcgijjccjjccgjcccc. What is prob of picking 2 g?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 899196 a multiple of 621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 951057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-4 + 9) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 354142558 to the power of 1\/2, to the nearest integer?\nAnswer: 18819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of -59*p**9\/7560 + p**5\/24 + 55*p**4\/6 - 19*p. Let z(q) be the third derivative of b(q). What is the derivative of z(x) wrt x?\nAnswer: -472*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -0.013, -2\/5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -33843012 to the nearest 10000.\nAnswer: -33840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 171 = 9*f - 6777. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3022204347.\nAnswer: 3, 23, 29, 241, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 537478.\nAnswer: 2, 31, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xc when two letters picked without replacement from {y: 1, z: 2, c: 3, x: 4, l: 6}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 - -13. Calculate the smallest common multiple of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 2*c - 12 = 0, 16113*c + 6 = -4*j + 16112*c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b (base 14) to base 12\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/4 >= -7\/1088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 141145 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8151 in -3\/5, -4, 14\/3, -2, 0.04?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 69\/7490?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 7:20 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1))**38\/((o*o**(-11))\/o**(-1\/4)) assuming o is positive.\nAnswer: o**(-113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2021211 (base 4) to base 12.\nAnswer: -5119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12.1853 + -0.8147. Sort s, -14, -2, -1, 5 in descending order.\nAnswer: 5, -1, -2, s, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 151 + -39. Let j = h + -62. Let a(b) = -5*b - 12. Calculate the remainder when j is divided by a(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1461396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 226256\/237 - (1 - (-2)\/(-6)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 575, -3 in decreasing order.\nAnswer: 575, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 - -3. Let a = q + 3. Suppose a*n + 2 = -2*u, 4*u + u = 2*n + 9. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1)*i*i)**(-23\/5)*(i*i*i**0*i)\/i**(-7)*(i*i**(2\/3))**(29\/4)\/((i*i**(-5\/6)*i)\/i**(-3)) assuming i is positive.\nAnswer: i**(799\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -204 + 211. Suppose i*x - 27 = -13. Solve -4 = x*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2244 (base 9) to base 7.\nAnswer: 4561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 - 13*i**2 - 5*i - 21. What are the prime factors of y(-13)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (3 + sqrt(252)*1 + 2 + sqrt(252) + sqrt(252) + 1 + 5 + 2 + -4 + 1)**2)*4.\nAnswer: 1440*sqrt(7) + 9464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1615618 - -3.\nAnswer: 1615621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 15*x + 16. Let g(z) = 4*z + 4. Give 22*g(f) - 6*h(f).\nAnswer: -2*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44 divided by 1257.\nAnswer: 44\/1257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 5622204*v - 164. Let h be f(-9). What is h rounded to the nearest one million?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 942, 2, -40 in descending order.\nAnswer: 942, 5, 2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12176059?\nAnswer: 7, 191, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 576 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.17 in 0.1, -3.08, -0.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -23, -2\/3, -102 in ascending order.\nAnswer: -102, -23, -2\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 + 391*z + 29*z + 139*z)*(-4*z + 2*z + 4*z).\nAnswer: 1118*z**2 + 26*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3 - q**2 - 2*q - 4. Let v be j(-2). Suppose -3*h + 17*h = 0. Find t such that t**3 + h + 0*t - 1\/2*t**v - 1\/2*t**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4997c - -a?\nAnswer: -49972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 41412140 - 19571597. Let d = q + -6486635083\/297. Let h = d - 230\/11. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2500256 (base 8) to base 10\nAnswer: 688302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 + 5\/((-15)\/(-18)). Solve -o = -f + 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.7076184ns to days.\nAnswer: 0.00000000000004291225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and -170?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 + 21*y**2 - 2437*y - 46930. Determine p(-19).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 (base 12) in base 3?\nAnswer: 210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12 + 12.1. Let i(q) = -2*q + 4. Let u be i(-6). Suppose -18*w + u = -16*w. What is the biggest value in w, 3\/4, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28636 (base 11) in base 9?\nAnswer: 61736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 72\/432*9\/(-4)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 - 15. Let f(j) = -4*j + 4. Is 12 a factor of f(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 252 = -14*q + 812. Calculate the remainder when q is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 PM and 4:26 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -37 + 74. Let b = -84 + 193. What is the remainder when b is divided by o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1634 + 26089\/16. Calculate the common denominator of 125\/1164 and r.\nAnswer: 4656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from wciwcciiwiccwii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 28769000 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.038  (b) 0.1  (c) -1\/2312  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -11020 (base 4) to base 7\nAnswer: -646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 57\/2 of a millisecond?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.08 + 2.92. Let p(s) = -s**3 + 6*s**2 - 2*s - 2. Let b be p(6). Let y be (-1)\/(-1) + 20\/b. What is the nearest to 2\/7 in y, -5, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -541, -1096, -1651, -2206?\n\"Answer: -555*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -10  (b) -4\/7  (c) -28332\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 10*n**2 + 7*n + 2. Let f(u) = -5*u**2 - 3*u - 1. Let l(g) = -2*a(g) - 5*f(g). Let x be l(-1). Suppose 0 = -r + x - 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 132206493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119563 is divided by 122.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 - -174.72599.\nAnswer: 171.72599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 5*p**3 - 6*p**2 - 10*p + 6. Let s(c) = -c**2 + 1. Let i(h) = -k(h) + 6*s(h). Find the second derivative of i(b) wrt b.\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44260, -92320, -140380, -188440, -236500?\nAnswer: -284560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -v - 0. Suppose 2*p + 0*p = v*j - 128, 5*p = 2*j - 72. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (12\/(-16))\/((-1)\/(-24)). Let v be 75\/i + (-3)\/(-18) + 14. Which is bigger: v or 55\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2*(-3)\/9*6. Suppose -2*c - 116 = -6*c - j*i, 0 = 4*c - i - 111. Suppose 2*h = -0*h + c. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12046 or 12079?\nAnswer: 12079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -5*w - 30, -2*w - 40 = -4*o - w. Let g = -7 + o. Let i(s) = 3*s + 4. List the prime factors of i(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:00 AM and 9:25 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-12)\/(-10))\/((-2)\/(-60)). Suppose 8*d - 5*d - 15 = 0. Suppose -n = d*u - 4*n - 41, -y = -4*u + 4*n. Calculate the greatest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(1\/4)*f*f**(4\/5))**(-5))**(6\/5) assuming f is positive.\nAnswer: f**(-183\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from {c: 5, m: 1, n: 3, i: 4}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 863.5543 litres in millilitres?\nAnswer: 863554.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5*v - 4*v - 3*v)*(-3 + 6 - 2) - 4*v + 2*v - v)*(-27 + 27 - 7*v**2).\nAnswer: 35*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (13 + 4 + 2 - 7)\/2. Solve -54 = -l*o - 78 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9330, 13, 5.\nAnswer: 5, 13, 9330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - dd0d?\nAnswer: -dd10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -90211585, -180423169, -270634753, -360846337, -451057921?\n\"Answer: -90211584*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 285509640 to the nearest integer?\nAnswer: 16897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1926 - -4917. Let t = 149603\/50 - o. Calculate the common denominator of t and -3\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 627, 1254, 1881?\nAnswer: 2508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**5 + 440*u**4 - 64386*u**3 + 3111696*u**2 + 3176523*u.\nAnswer: -u*(u - 147)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 6, x: 2, a: 3, j: 2}. What is prob of picking 1 a, 1 x, and 2 j?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 - 7*m + 4. Let d be k(7). Let u be (d\/(-6))\/(32\/(-36)). Let j = -2 + 1.6. What is the second biggest value in -1, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/6?  (a) 5  (b) 11  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 4*s = 20, 0 = -2*x + 3*s - s. Suppose 13*y = 10*y + 36. Calculate the lowest common multiple of y and (-1 + x)*4\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75178276.\nAnswer: 2, 43, 437083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:12 AM and 4:43 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/(f\/f**(-2\/27))*f)\/f)\/(f*f**(-23)))\/(f**(1\/35))**(-6) assuming f is positive.\nAnswer: f**(20882\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*k + 10 = -21*k. Suppose 4*v + 12 = 0, 0 = k*j - 3*v + 4 - 3. Let g be 5\/(-10)*12\/j. Solve 3*f + 3*u + 9 = -0, -g*u = 2*f + 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.44 - 0.06. Let k = -9 - a. What is k rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dhdhhhhhhhhhsdqmdq. Give prob of sequence mh.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*u + 666 = 19*u. Let f = u - 295. Are -72 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 22 = 3*w, -10 = -2*w - w + b. Which is smaller: 3\/2 or w?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, -8313, -4, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 + -14. Let f = 14 + j. Which is the second biggest value?  (a) 1\/7  (b) f  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -45 != -269\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1655687, -1655689, -1655691, -1655693, -1655695, -1655697?\n\"Answer: -2*c - 1655685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 129513867 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -4*f. Suppose f*s = -4*s + 3*n + 200, -2*s = -2*n - 102. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -1562 + 3*m + 3302 - 1644. Let c(j) = -4*j**2. Give c(g(l)).\nAnswer: -36*l**2 - 2304*l - 36864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2052568 to the nearest integer?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 - -1 - -8) + -10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11431\/48 - -718\/3. What is the common denominator of u and (-35)\/(-28)*214\/25?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, -10, 0, 5 in descending order.\nAnswer: 5, 0, -10, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2*l**2 + 4*l + 1. Let c be f(4). Let s = c - -38. Let n = s - 11. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0102 - 0.077. Let k = -8.0668 - s. What is the biggest value in -0.3, k, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 PM and 5:04 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 q, and 1 u when three letters picked without replacement from liqukqti?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**2\/5 - 1758*k\/5 - 10701.\nAnswer: 3*(k - 615)*(k + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -384 - 381 - 12*i + 765.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27829517.\nAnswer: 23, 1209979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -68 - -4bbd?\nAnswer: 4b55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 42, 77, 128, 201, 302, 437, 612, 833?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*q**3 + 2*q**3 + 0*q**3)*(5 + 1 + 0)*(-3 - 2 - 2)*(2*q - 4*q + 3*q + 8) in the form p + b*q**2 + y*q**4 + z*q + n*q**3 and give y.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -43339686*c**4 + 13*c - 238337 wrt c?\nAnswer: -520076232*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1476\/24 - 1\/2. Suppose -2*g - 5 = -s. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 410 is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -6330830 divided by -859\nAnswer: 7370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h + 1. Let x be c(1). Solve 3*k = 4*k + 5*m - 24, -2*k - x*m = -8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -44 - 25571?\nAnswer: -25635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6095410 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b - 7. Determine p(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18 + 22. What is the least common multiple of h and 41?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h + 9. Let r be l(8). Let s = -12.9 + 12.6. What is the second smallest value in 1\/8, 0, r, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes after 12:58 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 161*l + 9741 = 584*l - 770 - 15715 for l.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/37, 0.13, 2\/5, -1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 108\/84 - (-6)\/(-21)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6 - (-2 - -1)*2. Suppose -2*j + 0 = -b. Suppose 3*w - 12300008 = -j*i, 7*w = 2*w - 3*i + 20500006. Round w to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 4029809270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1162 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13546\/(-260) - -52)*(-5)\/2*-1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-six fifths of a century?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-75)\/4)\/((-3)\/36). Suppose 0 = y + 4*y - c. What is the highest common factor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = o + 1. Suppose 4*g + 6 = 2*p, o*g - 46 = -5*p - 7. Find the common denominator of 81\/14 and (1\/p)\/(2\/(-13)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85884 is divided by 5367.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1806 or 1816?\nAnswer: 1806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - 2 - (-41 - -36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1644 and 6236103.\nAnswer: 24944412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -169, -271, -407, -577, -781, -1019, -1291?\nAnswer: -1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1495, 1\/4, 36, 5?\nAnswer: -1495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -350245, -350242, -350239, -350236, -350233, -350230?\nAnswer: -350227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22 + -1202122101101?\nAnswer: -1202122101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.671610688 and -26784.\nAnswer: -26784.671610688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-6)\/(-396))\/((-3)\/6). What is the third biggest value in g, 2\/7, 16?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.2382 - 120.4382. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -287100 divided by 870?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -2 + 33*m - 12*m + 24*m - 701*m. Let l be b(-1). Suppose -4*r = -l - 38. Is 24 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = -2*a + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 + 46\/3. Let n = -0.977 + 1.2806. Let m = 0.0964 + n. What is the third smallest value in f, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f = f. Sort 1, 2, f in decreasing order.\nAnswer: 2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 6 + -2 + 2 - -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 85141, 170267, 255393?\nAnswer: 340519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21758, -21746, -21734, -21722, -21710?\nAnswer: -21698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/72)\/(2\/(-24)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -39*i*n**2*w**3 + 2*i*n**2*y - 36*i*n**2 - i*n*w**2 - 4*i*n*w*y + i*w**2*y + i*w**2 + 3*i*y - 5*n*w**3*y wrt n?\nAnswer: -78*i*w**3 + 4*i*y - 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 50891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -251885\/546 - -23800\/39. Let t = p - 1396\/7. Let k = t - -913\/18. Which is the closest to 2?  (a) 0.1  (b) k  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 794 is divided by 165?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -732 + 1208. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - y = -6*y + 13, -i + 4*y - 8 = 0. What is the remainder when 21 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 161, 320, 479, 638, 797, 956?\n\"Answer: 159*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 27*q - 21*q. Let l be (-10 + 16 + -8)*-1. Solve l = -a + q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 2, -24.\nAnswer: -24, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes before 10:33 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*w**3 - 4*w**3 + 0*w**3 + 16*w**3.\nAnswer: 41*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -138629\/12 + 11541. Are v and -11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1327 + -868. Let n = z + -213. Suppose n = -4*y + 6*y. Calculate the highest common factor of y and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 1698*d**2 - 2*d - 1. Let l be y(-1). Suppose -2*v = w - l, 3*v - 8*v = -4*w + 6757. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the third derivative of -a**5\/30 - a**4\/12 + 2*a**3\/3 - a**2. Find v such that s(v) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-153)\/(-12)*(-24)\/18\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -a**3 - 844*a**4 + 846*a**4 - a**3 - 1 - 32*a**2 + 0 to the form o*a**2 + u*a + r + i*a**4 + q*a**3 and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*i - 21. Let v(s) = -6*s + 3. Let f(p) = 7*p - 4. Let u = -454 - -449. Calculate i*v(g) + u*f(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s + 2671*s**3 - s - 1018*s**3.\nAnswer: 1653*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {y: 2, i: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 + -7. Suppose l + 3*l = 20, -4*m - n = -5*l. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19447177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -4, 0, 63.\nAnswer: -4, 0, 6, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2097.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(1\/4))**12)**(-33) assuming y is positive.\nAnswer: y**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6.3033 - 0.0033. Which is smaller: 1\/4 or l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -439 - -450. Suppose c = -c + 10. Suppose 0 = -u + 4, -42 = -w - c*u - 12. Calculate the least common multiple of y and w.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-3)\/60)\/((-3)\/6). Let g = w + -3\/5. What is the second smallest value in -0.3, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 1 + 0)*(5*u - 3*u - 3*u) + (1 - 1 + 1)*(-13 - 10*u + 13 + (-2*u + 2*u + 2*u)*(-4 + 5 - 3)) as p + i*u and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-nine halves of a milligram in micrograms?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.06, 0.0376, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-34)\/6 - (-1)\/(-3). Let h be -1*2*j\/21. Let w = -10334 + 10330. Which is the biggest value?  (a) 3  (b) w  (c) h  (d) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(16)\/(-3*sqrt(8)*4)*5.\nAnswer: 25*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + (-3 + 2 - -2). Suppose 4*y + 2 = -s + 6, 4 = j*y + s. Suppose y*g - 20 = -5*g. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25)\/(-12)*2\/(-5).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -154*v + 62*v + 74*v = 270 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 189307.205 rounded to the nearest ten?\nAnswer: 189310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 47013, 94038, 141063, 188088, 235113?\n\"Answer: 47025*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*k + 0*k + 2*k)*(3 - 1 - 1) + 0*k + k - 3*k + 1490 + 107*k - 1490 + 3*k - 3*k - k)*(-k**3 - 1 + 1) + (-5*k**3 + k**3 + 2*k**3)*(-4 + 4 + 2*k).\nAnswer: -107*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - p = 0. Let o = 10 + -9. Solve -i + p = -o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 171 and 665?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.9 - -1.6. Let n = k + 0.3. Let c = -3 + 4. What is the nearest to n in c, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(15) - (sqrt(15) + (sqrt(15) - (sqrt(30)*-2)\/sqrt(2)))) + sqrt(165)\/(sqrt(11)*1))\/(-6*2*(sqrt(5) + sqrt(15)\/sqrt(3))).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4\/439 + -5248\/2195. Suppose 6*w = 10*w + 4. Which is bigger: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {r: 1, w: 3, d: 2, e: 3, h: 1, x: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**3 - x**2 - 8*x - 1. Let n be i(4). Suppose -12 = 9*p - n*p. What is the tens digit of (2 - (-5 + 9))\/(p\/(-92))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 + 6*d. Let q(i) = -3*i**3 + 5*i**3 + 18 + 13*i - 18. Determine 6*q(f) - 13*s(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -51587, -102469, -153351, -204233, -255115, -305997?\nAnswer: -356879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-272)\/(-12))\/((-2)\/12). What is b rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**2 - 591*j.\nAnswer: 3*j*(j - 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + -5. Let l(s) = s + 5. Let h be l(i). Solve -3*t + h*t = 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 14\/42*303*1. Let k = i - 63. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2415977 is divided by 402620?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -8.683325632 - -5.535\nAnswer: -3.148325632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111 + 11011101001011100?\nAnswer: 11011101001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 20001320231 (base 4) in base 15?\nAnswer: 2b8a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - -1101101000?\nAnswer: 1101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-14)\/182)\/(-1*(-2)\/(-4))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11001100111 - 111000100111101001?\nAnswer: -111000001110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3658.459 milligrams to grams.\nAnswer: 3.658459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*o - 12*o + 2 = 0. Let q be (-10 - -7) + (-14)\/o. Solve -5*f + 5 = q*n, 0*n = 2*n + 2*f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1019*-0.25.\nAnswer: 254.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 2\/13*w**5 - 144\/13*w**4 - 4\/13*w**3 + 2\/13*w + 288\/13*w**2 - 144\/13 = 0. Calculate w.\nAnswer: -1, 1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 212?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from rtexxxtrtberesbt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and 370?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2 + ((-1590)\/(-252) - 2) + 1 and 137\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.015066858 to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 149 + -39. Let c = 1296 + -1286. What is the greatest common factor of o and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*c**3 - 8*c**3 - 14*c**3.\nAnswer: -31*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 13140 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oototttt. Give prob of picking 1 o and 3 t.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -621*g + 311*g + 310*g + 456*g**4 + (0*g**2 + 3*g**2 - 4*g**2)*(-g**2 + g**2 - 2*g**2).\nAnswer: 458*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 74 + -78. Suppose 2*j = 6 - 0. Let s be 3\/j - 15\/12. Which is the closest to -1?  (a) u  (b) -0.1  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 168 - 163. What is the units digit of ((-1838)\/(-10) - -7)*w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8 - -4. Let o = 3.9999908 + c. Round o to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 5 in increasing order.\nAnswer: -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 586*v**2 - 601*v**2 - 3*v**3 - 7*v**4 + 1 - 11*v**4 wrt v.\nAnswer: -432*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 5*m - 177, 3*o - 3*m = -5*m - 237. Let f = 203 + o. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16.1 + 16. Let q = -4.7329 - -0.7329. What is the nearest to j in 2\/3, q, 16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of -5*t**4\/24 - 23*t**2 + 10*t. Let k(n) = 34*n**2 - 5. Calculate k(j(p)).\nAnswer: 850*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 66 = -3*w. Let v = -11 + w. Suppose p = 5*q - 26, 2*q - 7*p + 8*p = 9. Put q, 1, v in increasing order.\nAnswer: v, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*y + 52*y = 10. Suppose 0 = 7*q - y - 27. Solve 4*l + 5 = 3*r + 4, 4*r + q = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -2. Let x be (1 - 24\/27)*2. Let p = -1.7 + 2.7. Put w, p, x in decreasing order.\nAnswer: p, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2))**6\/(c**(2\/7)\/c**0) assuming c is positive.\nAnswer: c**(-86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1020 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1221643156?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -3*v**3 + 3*v**2 + 58*v. Let b(k) = -k**3 + k. Calculate 2*b(j) - l(j).\nAnswer: j**3 - 3*j**2 - 56*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u - 11. Give p(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 AM and 10:56 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -33 - -37. Solve -w = z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.029712 times -0.4\nAnswer: 0.0118848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.3 and 151514723.\nAnswer: 151514722.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1\/(-6 + 13810\/2300) and 2?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -4499, -8897, -13111, -17045, -20603, -23689, -26207, -28061?\n\"Answer: 16*t**3 - 4*t**2 - 4498*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.01 + -1.99. Let m = 1.9 + g. What is m rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.53037 times -96\nAnswer: 50.91552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of -28*s + 1\/10*s**5 + 0 + 5*s**3 + 3\/2*s**4 + 7*s**2. Let g(k) = 0. What is k?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 4*s - 1 = 0, -4*s + 4 + 4 = 0. Suppose x - 9 = -4*c - 0*x, c - 11 = -2*x. Let f be 4\/10 + 4\/(-5). What is the nearest to c in -2\/3, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 39 = 2*v, 49 = 4*v + 5*u - 26. Suppose -3*d + 6 = -o, 0*o = 2*d - 2*o. Suppose d*n - 341 = -326. Solve -v = -n*x + 4*w, -w = 4*x - 9 - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 5 + 2)*(-3*n + 3*n - 2*n**3) + 0*n + 0*n - n**3 - 10*n**2 + 10*n**2 - 10*n**3 to g*n + c + t*n**3 + w*n**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**2 + 5*p. Let z be v(5). Let s = 67 + -102. Let i = -34.9 - s. Which is the nearest to -4?  (a) 3\/2  (b) i  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7030542 divided by 699\nAnswer: -10058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.2741 + -129.1741. Round s to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12269985.\nAnswer: 3, 5, 7, 13, 89, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6.76 and 0.26.\nAnswer: -1.7576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 AM and 10:25 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 2) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -17514*r - 2486977. What is k(-142)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 618915 and 26136.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*i + 3*i - i - 26*i + 15*i - 22*i + (-1 + 1 + 1)*(-2*i + 3*i - 2*i) + 14*i + 10*i - 14*i.\nAnswer: -25*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 73*n**2. Let c(v) = -2*v - 18. Let i(l) = -10*l - 96. Let h(r) = 16*c(r) - 3*i(r). What is h(f(g))?\nAnswer: -146*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 2*q + 2*a = -48, -4*a - 12 = 0. Calculate the remainder when 82 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 + a**2 - a - 26. Determine y(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 - -18. Let c = -8 + o. Find the third derivative of 0*w**3 - 2*w**2 - w**2 + 0*w**2 + w**c wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + 1. Suppose u = q - 2. Solve 0 = -g + 3 + q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-33)\/297)\/((-1)\/(-3))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(343)*-2 + (sqrt(7) - (sqrt(21)\/sqrt(3) + 2)) - 6*sqrt(7)*-2*5.\nAnswer: -2 + 46*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -t**3\/8 - 6988929*t**2\/4 - 48845128567041*t\/8 = 0?\nAnswer: -6988929, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**2 + 11*s - 2. Let p be j(6). Suppose 0*v - 2*v = 4*k - p, -4*k + 24 = v. What is the second derivative of -o**4 + 2*o**v - 2*o**4 + o wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1475874777.\nAnswer: 3, 13, 47, 227, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {z: 6, r: 8, u: 2, i: 3}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1104441 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83065 is divided by 8302.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -46795, -184489, -413979, -735265?\nAnswer: -1148347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 108 and 37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.025655592 minus 3?\nAnswer: -2.974344408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.051 and -0.03?\nAnswer: -0.00153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/57 and -13\/114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are 45\/317 and -21\/82 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of -b**3\/6 - 4*b**2 - 2*b. Let o be f(0). Let r be 34\/8 + 2\/o. Solve 0 = -u - u - r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -207*k + 207*k + 34*k**3 + 2*k + 2*k**3 - 2*k + 0*k**3 + 5*k**3 - 3*k**3 - k**3 + 2*k**3 - 3*k**3 + (3 - 3 - 2*k)*(-k**2 + k**2 + k**2) - k**3 + 3 - 3.\nAnswer: 33*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 114 - 27?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -41 + 43. Let i be (-3 - (-4 - -2))*0. Factor m - 3*m - 2*m**2 + l*m**4 + i*m**2 + 2*m**3 + 0*m**4.\nAnswer: 2*m*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 PM and 1:41 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-7) - 19\/((-4256)\/(-64))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6639 - -6637. What is the nearest to 1 in -0.5, z, 0.01, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6447 and 10745?\nAnswer: 32235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -101, 3, -217 in ascending order.\nAnswer: -217, -101, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (10 - 10) + (0 - 1) - 55. Let c be (-21)\/(-4) + (-7)\/i*-2. Solve 3 = 2*y + 4*k + 5, c*k + 7 = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-3)\/(-9)*6)\/(3\/(-96)). Let y be t\/(-5) - 13\/(-65). Which is smaller: y or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -529, -1081, -1665, -2293, -2977, -3729?\n\"Answer: -2*f**3 - 4*f**2 - 526*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 91 is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.07, 45, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**2 - 22*l + 5. Let q be o(-20). Suppose 0 = 5*u - 2*f - 26, u - 3 = -f + 5. What is the smallest common multiple of u and 108\/10 + (-36)\/q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*f**2 + f**2 + 0*f**2)*(2*f + 0*f + 0*f) - f**3 + 5*f**3 - 3*f**3)*(-11 + 11 - 7*f).\nAnswer: 21*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/77)\/(156\/(-1092))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 112 + -72. Let g be 3312\/(-414) - 12\/(-2). Put g, y, -3 in descending order.\nAnswer: y, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 3*m - 13 = 0, 4*o - 18 = -4*m + 18. Let v(h) = -7*h - 2 - 7*h + h + o*h. Let g(q) = 7*q + 3. What is 2*g(f) + 3*v(f)?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of 2*r**3\/3 + 33263. Let w(c) = 0*c**2 - 28*c**2 - 38*c**2. Give w(t(j)).\nAnswer: -264*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*v + 5 + 3. What is the closest to 2\/7 in -3\/7, v, 0, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w - 2*w + 0*w)*((41 - w - 42 - w)*(0 - 6 + 4)*(-2 + 5 - 4) + 0*w - w + 5*w + (9 - 1 + 1)*(-w + 3 - 3) - 2 + w + 2).\nAnswer: 24*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4910199, -4910200, -4910201, -4910202, -4910203, -4910204?\nAnswer: -4910205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 456985, 3 in descending order.\nAnswer: 456985, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -239 - -3679. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -27\/14 + 17\/7. Let r be 208\/(-520)*6\/(-4). What is the closest to -1\/4 in w, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wrnrwrrrrmrwvwm. Give prob of picking 1 n, 1 m, and 1 r.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjrajajklaaujau. Give prob of sequence jku.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 502 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -11*m - 1163. What is j(-106)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-690*p**3 - 251942*p**2 + 251942*p**2)*(4 + 0 - 1)*(-7*p + 2 - 2) in the form l + v*p + k*p**4 + y*p**3 + t*p**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 182636.958 hours to weeks.\nAnswer: 1087.12475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-34)\/4 + (-3)\/(-6). Let f(b) = b**2 + b - 8. Let o be f(y). Let r = 174 + -102. Calculate the highest common factor of o and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 159058104 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 228*b - 105*b = 113*b - 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 199556900 rounded to the nearest 100000?\nAnswer: 199600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (176 + 10 + 224)*(0*t**2 + 2*t**3 + 0*t**2)*(-2 + 3 + 6)*(-5 + 3 + 1)*(5*t - 5*t - 5*t) to k*t + f*t**3 + c + r*t**2 + g*t**4 and give g.\nAnswer: 28700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 38\/1645 and 137\/6?\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.03 and -49.\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -615 - -620. Solve 2*i - a*q = -4*q + 7, 4*i - 23 = 5*q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37514991 to the power of 1\/2, to the nearest integer?\nAnswer: 6125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of s**5\/60 + 29*s**2. Let z(a) = 4*a**2 - a**2 + a**2 - 3*a**2. Give z(k(i)).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1237 (base 8) to base 9\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = -y - 22, -1583*u + 1571*u - 176 = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -8*n**2 + 4*n - 16*n + 13*n - n**3 + 11. What is h(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.356518 and 3094.\nAnswer: 3094.356518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 456*h = 457*h - 10. Calculate the smallest common multiple of h and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 8 - -114487?\nAnswer: 114495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -127939 - -1580828?\nAnswer: 1452889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 + 2*n**2 + (-116*n - 312 + 312)*(n - 2*n + 0*n + (-2*n + 0*n + 0*n)*(-2 + 1 - 1)).\nAnswer: -346*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 5:07 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1490 - -4947. What is x rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 + -1 - 6)\/(9\/36)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 20 - 4 = 0. Let b = -2 - o. Suppose 0 = -b*r + 2. What is the remainder when r is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38773 = 104*b - 32949 for b.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = -4*j - 44 + 38, 0 = -j + 4*l - 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 166278 and 101864?\nAnswer: 11306904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -4.5+-663\nAnswer: -667.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 8) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 + 6*x**2 + 5*x - 5. Suppose -15 = -5*p - 0*p. Suppose -p = -w - 2. Let f = -4 - w. What is n(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 - -91. Let k = 57 - a. Let j = 9 - k. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4884134499 - -0.44152.\nAnswer: -4884134498.55848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 - p**2 - p - 4. Let r be i(0). Let y = 31 + -13. Let z be (-3)\/2*60\/y. Put z, -2, -3, r in ascending order.\nAnswer: z, r, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -9ed - -a?\nAnswer: -9e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(5 + -4)*10\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 2*k**2 - 2*k - 7. Let i be t(11). Let n = i - 59. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1958575483 and 4.5.\nAnswer: -1958575478.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 566377884, 1132755772, 1699133660, 2265511548?\n\"Answer: 566377888*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -5*x + 3*n, x + 3*x - 32 = -4*n. Suppose 0 = x*l + 4944 - 23802. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*x**3 + 7975 - 2315*x - 5612*x - 7977 - 2*x**2 to a*x**3 + i*x + k*x**2 + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 8 = 2*p. Let u be 24\/p*(2 + -1). Calculate the smallest common multiple of 11 and ((-22)\/(-8))\/(2\/u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1919658698?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -42785224*f**5*k - f + 15*k + 11525 wrt f?\nAnswer: -855704480*f**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -5*q - 122. Let s = q + 30. Which is smaller: 2\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 + 6 - 2) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2010122 (base 3) to base 2.\nAnswer: 11000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -14*g**3 - 78*g**2 - 5*g + 5. Let b(i) = -2*i**3 - i**2 - i + 1. Give -10*b(a) + 2*s(a).\nAnswer: -8*a**3 - 146*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 5, 2, 518, -12\/5 in decreasing order.\nAnswer: 518, 5, 2, -2\/3, -12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**2 - 1. Let g(c) = -7*c**2 - 3. Let u(b) = g(b) + 5*m(b). What is the first derivative of u(o) wrt o?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 4*n + 7. Suppose -5*b - 2*z = 607, 9*b + 595 = 4*b - 5*z. Let j = -129 - b. Let o(q) = 2*q + 3. Give j*r(c) + 14*o(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(-7) + (-561)\/(-21). Suppose 4*p + 47 = 5*d - c, -p + 13 = d. Let i = -1 - -15. Calculate the greatest common factor of i and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18016.898 + -18369.2. Let z = w - -352. What is z rounded to two dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 77001, 307987, 692961, 1231923, 1924873, 2771811, 3772737?\n\"Answer: 76994*g**2 + 4*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13030 + 22230?\nAnswer: 101320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**2*q)**(7\/5)*q**(2\/3)*q**(2\/3))\/((q**3\/q)**(1\/2))**(-18) assuming q is positive.\nAnswer: q**(353\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a + 8 - 84. Let d(z) = 2*z - 94 + 8*z**2 - z**3 + 3*z**2 + 77. What is the remainder when a is divided by d(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (8\/(-12)*48)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13282 + -2267. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -101785572 divided by -179516.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/4)\/(19\/(-76)). Differentiate 17*r**3 + a*r**3 + 73 + 71*r**4 - 19*r**3 wrt r.\nAnswer: 284*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -179*z + 3746. Give c(18).\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 15*v + 64. Let d(j) = j + 4. Suppose 2*c + 14 = 3*c + 3*r, r - 8 = 3*c. Let o(n) = c*t(n) + 6*d(n). Differentiate o(i) wrt i.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 17*p**2 + 8*p**2 - 29*p**2 + 2. Let y(i) = 2*i**2. Determine y(j(l)).\nAnswer: 32*l**4 - 32*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 78, 74, 68, 60, 50?\n\"Answer: -r**2 - r + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 67*q - 16447 - 16678 - 22887. Calculate the lowest common multiple of 264 and q.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 685714 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 4*a + 8, 3*b + a - 5*a - 12 = 0. Suppose -2*p = 2*v - 14, -b*v + 2*p + p + 7 = 0. What is the least common multiple of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.63, -1\/4, -59, -1.7, 2 in descending order.\nAnswer: 2, 0.63, -1\/4, -1.7, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25, 34, 23, -14, -83, -190, -341, -542?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.4578 + 0.457805549. What is d rounded to 7 decimal places?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 104*0.08802.\nAnswer: 9.15408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 0*i = 5*f + 12935, -5*i = 25. Let r be 6\/(-10) + (-1441)\/f. Let n = -130 - -131. Does n = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -5*z + 4. Suppose -w = -2*w + 10. Let q(s) = s + 10 - 21 + w. Determine a(b) + 4*q(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -85997.7 to the nearest one thousand.\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/h**(-1\/15)*h*h\/((h*h**(2\/13)*h*h*h)\/h*h) assuming h is positive.\nAnswer: h**(-212\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the third derivative of -t**6\/24 - 7*t**5\/12 - 35*t**4\/12 - 20*t**3\/3 - t**2. Solve d(f) = 0 for f.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 172 divide 2816092876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5 + -3 + (-1 - -2). Let w = 7 - 4. Suppose -w*f + 6*f - m*p = 0, -p = -5. Solve -2*k - 5*y + 18 = 0, -10 = 2*k - f*k + y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -4562  (b) -4  (c) -3  (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (0 - -1) + (2 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -114737754 divided by 6?\nAnswer: -19122959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:18 AM and 12:02 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 + ((-9)\/6)\/((-72)\/(-104)). Let q(p) = -p**2 + 16*p + 17. Let c be q(17). Which is bigger: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171)\/sqrt(3))\/sqrt(3) + 3*(sqrt(19) + 0 + sqrt(19)))**2.\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 + 13*o**2 - 10*o - 22. Let h be c(-8). What is the greatest common factor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 3, q: 8, o: 7, j: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -522 + 521. Let i be -31 + 34 + o*2. Let q = -4 - -3.6. Which is the nearest to i?  (a) 2\/3  (b) -3  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32041026?\nAnswer: 2, 3, 641, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2467 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s - 2. Suppose -3*z - t = -17, -2*t - 16 = z - 6*t. Let q be j(z). Suppose q*b + 2*f = 196, -259 = -3*b + 7*f - 3*f. Does 34 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 681, 671, 643, 597, 533, 451?\n\"Answer: -9*w**2 + 17*w + 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 516535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 600\/(-33) + (-4)\/(-22). Is 24 a factor of (-1148)\/(-24) - 1*3\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 - -0.013904.\nAnswer: 4.013904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -233, -209, -179, -137, -77, 7, 121, 271?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v**2 - 2*v**4 - 2*v**2)*((-1 + 2 - 3)*(2 + v - 2) - v + 5*v - v + 6*v - 2*v + 0*v).\nAnswer: -10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3292 or 450?\nAnswer: 3292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 smaller than -63\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11000 (base 2) to base 14.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1465, 6040, 13667, 24346, 38077?\nAnswer: 54860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 252*b**2*d - b*d**2 - 1036*d**2 with respect to b.\nAnswer: 504*b*d - d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21 - -7. Suppose 10*r = 3*r + 70. Let x = w - r. What is the least common multiple of x and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -91 - -91. Sort f, 2, -6, 1 in decreasing order.\nAnswer: 2, 1, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(252)*1)**2.\nAnswer: -48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 925348.5 grams to tonnes.\nAnswer: 0.9253485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(28\/(-12) - -3)*3*(-2)\/(-12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(-15)*2*-10. Let i be z\/22 + 60\/(-33). List the prime factors of (i\/6)\/(2\/(-354)).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -286 divided by 638866\nAnswer: -143\/319433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - -24?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -580c3 - -25?\nAnswer: -5809c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuuuququuuqquuq. What is prob of picking 2 q and 2 u?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 4*r + 8 = 0. Solve -r*i + 0*i = -4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**2 - u. Let t(p) = 15*p**2 + 6*p. What is 6*b(d) + t(d)?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-80)\/2)\/(((-183)\/488)\/(21\/(-140))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 + 707202?\nAnswer: 707207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of 11*r**5\/120 + 4*r**3 + 3*r**2 - 17. Let y(w) be the first derivative of k(w). Let j(p) = 2*p**2. What is y(j(n))?\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 11 = 10. Let o(b) = 5*b**2 - 3*b - 14. Let n(a) = -a**2 - a + 1. Let q(y) = 6*n(y) + o(y). What is q(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1, -19.78, 137?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-18)*d*d**(-16)*d*(d**9\/d*d)\/d*d*d\/d**(-1\/5))**(-16) assuming d is positive.\nAnswer: d**(1744\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g**4 + 36*g**3 - 144*g**2 + 16*g + 192 = 0. What is g?\nAnswer: -12, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -15 and 8918?\nAnswer: -133770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/a**(3\/4)*a)**(-1\/53))**(8\/3)\/(a**(-7)*a*a**(-2\/13)*a**2\/a**(1\/5)) assuming a is positive.\nAnswer: a**(14609\/3445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -18, -29, -46, -69?\n\"Answer: -3*g**2 - 2*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 6 + ((-16)\/22)\/(-1 - 168\/(-231))\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 741522 (base 10) to base 11\nAnswer: 467131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11913817.\nAnswer: 19, 53, 11831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -185 greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 872 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 15  (b) 13.46  (c) 2138\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 269.514 microseconds?\nAnswer: 0.000000000445625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5692588 is divided by 45907?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 48 = -13. What is the remainder when (4\/(-8))\/(1\/(-36)) is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10943919 is divided by 194.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*z + 5*u + 35 = 81*z, z = 4*u + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of -11*q**4 + q**3\/3 + q**2 + 6*q - 115. What is the second derivative of g(b) wrt b?\nAnswer: -264*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 129605682 and 1138.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 35.7307.\nAnswer: -178.6535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(2\/23)\/r)\/r*r*r\/r**(1\/2)*(r*r**(-1))**(4\/15))**0 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 16, i: 1, n: 3}. What is prob of picking 2 n and 2 e?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -35 in -1, -4, 4\/9, -1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = 28 + 17 + 1, -2*h + 4*d = 3*h - 82 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -468 + 467.9. What is the smallest value in a, 0, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-11)*t)**39 assuming t is positive.\nAnswer: t**(-390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 4*m - 21. What is the remainder when 12\/8*10*m is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 2 q when three letters picked without replacement from {q: 16, s: 4}.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 20 - 0. Suppose 3*p - 3 = -0*p. Let a = -4 + p. Put z, 0.3, a in increasing order.\nAnswer: a, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2218*z**5 + 1531*z**4 + z - 7043691 wrt z.\nAnswer: -44360*z**3 + 18372*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 79*f + 43*f + 75*f + 80*f - 281*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = p - 15. Suppose p*w - 4 = 3*w. What is the third derivative of i**2 - 3*i**3 - i**2 - 2*i**2 - w*i**3 wrt i?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -w**4 + 52515*w**3 - 4*w**2 + 48 + 4*w**2 - 52516*w**3 to i + o*w**2 + y*w + k*w**4 + a*w**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2941.99993584 + 2942. What is a rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4 + 12)\/(2 + -1). Let q(d) = 2*d**2 - 14*d - 7. Let t be q(u). Solve g + 4 = t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 4*p + 40, -2*p = -4*b + 37 + 25. Solve 0 = -7*s - 40 + b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 1952*w - 5. Let l(h) = 376*h - 1. What is -22*l(t) + 4*o(t)?\nAnswer: -464*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*t - z - 8, 2*t = 53*z - 46*z + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**2 + 39*b + 303. What is m(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2303614, -4607621, -6911628, -9215635, -11519642, -13823649?\nAnswer: -16127656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4493, -4500, -4507, -4514?\nAnswer: -4521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*u + 0*u - 2*u)*(2 + 0 + 0) in the form k + g*u and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -258, -513, -746, -957, -1146?\nAnswer: -1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-4)*18\/(-54))\/(407\/(-22))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q*q\/q**(-1\/4))\/q)**(-27)\/((q**(-12\/11)*q)\/q**(-28)) assuming q is positive.\nAnswer: q**(-3901\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 AM and 5:06 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 - 7*l - 6. Let w be a(8). Let n = w - 1. Let t = 36 - 326\/9. Which is smaller: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -756.2 + 699. Let i = n - -57.497. Let f = 0.29700133 - i. What is f rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -890, -3357, -7404, -13031, -20238, -29025?\nAnswer: -39392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3564 and 8.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/6 in -2\/9, -5, -300?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 118529169.\nAnswer: 3, 11, 3591793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -4*m + 21. Suppose l = 44 + m. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 16, 7, -34, -125, -284, -529, -878, -1349?\n\"Answer: -3*s**3 + 2*s**2 + 6*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -4*t + 5*w, 9 = 3*t - 4*w - 2. Solve -3*q + 8 = -4*h, h + 3*q + 22 = t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 2\/8 - 5\/((-80)\/4572)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 - 1 - a + 0*a)*(0*a**2 - a**2 + 3*a**2 + 2*a) to b*a**2 + w*a + j + d*a**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -892*f**2 + 2947*f**2 - 7460*f**2 - 4958*f**2 - 1599*f**2.\nAnswer: -11962*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0005699658 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 17\/5 in -1, -10.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 44010621 to the power of 1\/3, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-786)\/24 - 6\/24*-3) + -1. Sort g, 3, -1, 5 in descending order.\nAnswer: 5, 3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k + 57*k - 10*k)*(0*k - k + 0*k).\nAnswer: -51*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**16\/((z**3\/z)\/z))\/(z*z**2*z)**(-1\/67) assuming z is positive.\nAnswer: z**(1009\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43*b - 43*b + 275*b**3.\nAnswer: 275*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -425, -426, -427, -428, -429, -430?\n\"Answer: -l - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 9. Suppose 9 = -t*r - 15. Is r\/30 + 241\/5 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-24)\/(-20))\/(8\/180). Is 27 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, 89 in ascending order.\nAnswer: 0, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 156696064 and 262326?\nAnswer: 470088192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2010\/(-192)*(713\/920 + 6\/(-16)) and 25\/1112?\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 264 and 82907?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/1407406 and 113\/858?\nAnswer: 4222218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4377495043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*y = 14*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, -1, 4, 471, 22 in descending order.\nAnswer: 471, 22, 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -4*d - 50. Calculate the lowest common multiple of 9 and u(-17).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**4\/3 - 152*z**3\/3 - 2888*z**2 - 219488*z\/3 - 2085136\/3.\nAnswer: -(z + 38)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 29 + -25. Let p(m) be the third derivative of -3*m**2 + 1\/150*m**5 + 1\/600*m**6 + 0*m**3 + 0 + 0*m + 1\/120*m**v. Suppose p(a) = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -27*a**2. Let o(z) = -8*z. Give h(o(q)).\nAnswer: -1728*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93 = 5*l + 28. Suppose 0 = -l*f + 3*f + 2590. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.3, 154293\/8, -1, 0?\nAnswer: 154293\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*d + 2*d**3 - 2*d**3 - 4*d**3)*(4*d - d + 0*d) + d**4 - d**4 + d**4.\nAnswer: -11*d**4 + 21*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -25 - -29. Which is the biggest value?  (a) y  (b) 0.14  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2005 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.61 - 5.61. Which is the third biggest value?  (a) 6  (b) u  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2141896*h**3 - 99*h**2 + 290*h**2 + 2141900*h**3 - 93*h**2 - 98*h**2.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - -1 - (1 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5539 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-12 - (-9 - -3)) + 5 + 2 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -354, -0.444, -4\/7, 2\/9 in ascending order.\nAnswer: -354, -4\/7, -0.444, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -11.8 * 574.26\nAnswer: -6776.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 802862\/333 + -2411. Let k be 1 - (-7 + (-8)\/(426240\/(-455384))). Let n = k + s. What is the common denominator of n and -119\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3498840 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -546*j**2 - 15*j - 27. Let q(b) = -4*b**2 + 0*b - 38*b**2 - 2 + b - 2*b. Let f(r) = -2*l(r) + 27*q(r). Find the second derivative of f(a) wrt a.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -9658402.7 to the nearest 1000.\nAnswer: -9658000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the first derivative of -k**4\/12 - k**2\/2 + 2. Let t(u) be the second derivative of g(u). Let f(x) = -4 + 2*x + 8 - 4. What is t(f(r))?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-25)\/(-5))\/(6\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 - 6. Find the second derivative of 3*b + g*b - 6*b + b**5 wrt b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 9*b = 20. Solve -b*d = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4444 and 7436?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4456\/6711 + -6\/2237. Which is the nearest to f?  (a) -0.2  (b) 415  (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (72\/780*-10)\/((-418)\/247)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 99 - 76. Suppose 0 = -4*m + x - 2*x, 5*x = m. Suppose 0 = -m*n + n - 2. Solve -w = 5*g + n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2364 + 2385. Suppose 0 = 4*v - 3*k - 328, -3*v + 0*k = 3*k - 267. Suppose -x + c = -v. List the prime factors of x.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 - 44 = 5*f. Let g(b) = b**2 + 8*b + 15. Let a be g(f). Solve -3*p = a, -13 = -3*d + p - 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1363140009)\/(-6) + 612\/(-408). Round p to the nearest 1000000.\nAnswer: 227000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 PM and 11:38 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 130 and 1192460.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2083742 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 19*m**3 + 2*m**2 + 1. Let z be f(2). Suppose 0 = -4*g - s + z, -2*s - s + 73 = 2*g. Let u = g + -22. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 4*g - 3814888, -3*g - 11889452 = -4*x + 3370119. Let r = 1974892 - x. Round r to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zpepecppez. Give prob of sequence zp.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-99)\/36 + (-8)\/32. Let x(w) = -5*w**2 + w + 4. Calculate x(k).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(3\/5)*u)\/(u\/(u*u**(-2\/7)\/u*u)*u))\/(u*u**(-2\/7)*u*u*u**(1\/5)) assuming u is positive.\nAnswer: u**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 386\/7  (b) 0.3  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes before 1:07 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 10:06 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3237 - -10521.9.\nAnswer: 10522.2237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -644 - -1086. Suppose -9*h - o = -2440. Calculate the greatest common divisor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from {v: 1, l: 3, i: 2, j: 3, z: 3, o: 7}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*l + 5 - 167. Let z be ((-6)\/l)\/((-6)\/(-14733)). Suppose 0 = -8*r + z + 723. What are the prime factors of r?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/6 and 6 - (-6)\/144 - 2\/1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 366639596 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 - 8*j**2 + 9*j. Let x be y(6). Let m = -13 - x. Solve -4 = m*l - 2*l - d, 4*d - 16 = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3663*t**3 + 0*t + 3673*t**3 + 0*t.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2*w - 3. Suppose 4*h + 2 = -38. Let j be (0 - -2)*35\/(-10). Let n = j - h. What is g(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 141 and 282.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3*2)\/((-129)\/(-860)). Sort -4, x, -3, -1 in decreasing order.\nAnswer: x, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(26))\/sqrt(2) + sqrt(208) + -1)**2.\nAnswer: -12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.15 and 0.5?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 3 = -o, 12 = -3*o - 5*k - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -57 + 63. Solve -2*a + 5*m = 20, a = j*a - 2*m + 29 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 222 + 49 = 0. Let k = q + -4877\/18. Is k > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 141 = -8*k - 19. Let y be (3\/15)\/((-24)\/k). Is y at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 0.085?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 6*v - 120. Let x be v\/(-6)*9\/(-3). Let h = -90 - -230. What is the highest common divisor of h and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43 - 372*t - 24 - 309*t - 2*t - 19.\nAnswer: -683*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + -3. Suppose 20*q + 8074 = 8054. Sort z, q, 5, 3.\nAnswer: z, q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the first derivative of -706*i**3\/3 + 1325*i - 1301. What is the derivative of c(z) wrt z?\nAnswer: -1412*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -55 divided by -2213\nAnswer: 55\/2213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.1 and 1304.\nAnswer: 1303.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2280892 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 112 by 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 16 - -2242020?\nAnswer: 2242036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-200)\/(-96))\/(15\/(-120))*(-3)\/45?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2013227781 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*b + h, 2*b - 1 = 2*h + 5. Suppose -c + b*c = 0. What is the remainder when 37 is divided by (-3 - -15) + 1 + c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1975899*q**5 + 3105393*q?\nAnswer: -39517980*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2281*z = 2177*z + 312 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 AM and 5:47 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 20 = 0, 3*r - w + 60 - 1399 = 0. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26341?\nAnswer: 7, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -5*u**3 + 4*u**2 + 46*u + 118. Let l be s(-4). Calculate the greatest common divisor of 8374 and l.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -61*o + 43*o + 3 + 39*o in the form r + g*o and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29228, -29338, -29532, -29816, -30196?\nAnswer: -30678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of 397*v**6\/30 + 23*v**5\/4 + 685*v**2 - v. What is the third derivative of n(c) wrt c?\nAnswer: 9528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -221687 - -241.69\nAnswer: -221445.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*h - 16 = -2*c + 7*h, c = -2*h + 5 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes after 2:39 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 52 + -1 + (-2443 - -2371).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g + 3*d - 720 = -5*g, -4*g + 5*d = 965. Let r = 514 + g. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.009242868 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 3) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 2*d. Let r = -14 - -13. Let l be 58 - (0 + -2 + (3 - r)). Let a(s) = 10*s + 16*s + l*s - 12*s. Determine f(a(o)).\nAnswer: 140*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 10*q + 2. Let v be p(4). Suppose -4*l = -5*b - 33, -7*b + 9*b + 18 = 2*l. Suppose -2*s + v = l. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 58, 57, 42, 7, -54, -147?\n\"Answer: -s**3 - s**2 + 9*s + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (7 + 11 + -14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -177, -496, -1021, -1746, -2665, -3772?\n\"Answer: w**3 - 109*w**2 + w - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6806*j - 15984 = 6808*j. What is j rounded to the nearest one hundred?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-9)\/(-18)*52)\/(22\/13431)?\nAnswer: 3, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 6, u: 2, h: 8, w: 2}. What is prob of picking 1 f, 1 w, and 1 u?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(153) - (sqrt(153)*-5 - sqrt(153))) + sqrt(153))*-4)\/(sqrt(81)\/sqrt(324)) + -3.\nAnswer: -192*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51*r - 164*r + 55*r + 10*r**2 + 3*r**2 + 56*r.\nAnswer: 13*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -245, -458, -673, -890, -1109, -1330?\nAnswer: -1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 54160 by -2.\nAnswer: -27080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9706?\nAnswer: 2, 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(1\/3)*i*i\/i**(-2\/37)*(i**13\/i)\/i**(-4\/3) assuming i is positive.\nAnswer: i**(1745\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2097 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-5)*z\/(z\/(z\/z**27*z*z))*z)\/(z*(z**(-12)*z)\/z)**(-41) assuming z is positive.\nAnswer: z**(-478)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a meter in millimeters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -16*x**2 - x - 1. Let b be s(-1). Let h be (2\/(-16))\/(2\/b). Let p be 5 + (-2 - -3) - h. Put p, 0, -14 in decreasing order.\nAnswer: p, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 5, k: 11}. Give prob of picking 1 x and 3 k.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 5*t + 4 = 0, -5*t + 2 = -f - 0*t. Let k(g) be the second derivative of 0*g**5 + 3\/10*g**2 + g + 1\/50*g**6 - 1\/10*g**4 + 0 + 0*g**f. Factor k(y).\nAnswer: 3*(y - 1)**2*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 14*q**3*w**2 + q**3*w - 58*q**3 wrt w?\nAnswer: 28*q**3*w + q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23010, -45730, -68164, -90312, -112174, -133750?\nAnswer: -155040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 2037 divide 134098179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b**4 + b**4 + 0*b**4 + (0*b**2 + 0*b**2 - 2*b**2)*(-1 - 2*b**2 + 1) + b**4 - 3*b**4 + 3*b**4 + 3*b**4 - 4*b**4 + 5*b**4.\nAnswer: 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 81*i - 77*i - 16652. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2824*v - 3598*v - 66366 = 2905 - 5803 for v.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9.805663349 - -0.1.\nAnswer: -9.705663349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -953226, -953226, -953236, -953262, -953310, -953386, -953496?\nAnswer: -953646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 771, 1773, 3049, 4605, 6447, 8581?\n\"Answer: v**3 + 131*v**2 + 602*v + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of z**4\/4 + 5*z**3\/3 - 5*z**2\/2 + 4*z + 2. Let p be (7\/14)\/(1\/4). Suppose -8 = 3*y + 2*k, 36 - 2 = -4*y + p*k. Give s(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m + 9*m = 2. Suppose -2 - 4 = -2*s. Find the third derivative of m*x**3 + 4*x**2 + 4*x**3 + x**s wrt x.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**3 - 4*x**2 + x + 2. Let n be p(2). Let k be (-1)\/4*-2*-8. Sort k, n, -5 in descending order.\nAnswer: n, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + 17*f**2 + 17*f + 22. Let a(g) = -13*g**2 + 5*g + 2. Let d be a(-1). Determine z(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*g**4\/13 - 32*g**3 - 19430*g**2\/13 + 3116*g = 0. What is g?\nAnswer: -41, 0, 2, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 279 + -284. Sort j, -2, -3, -1 in decreasing order.\nAnswer: -1, -2, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -2*b**3 - 7*b**2 - 5*b - 7. Determine p(-7).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - 83 + 5. What is the greatest common divisor of u and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 - -3. Let b be (o\/(-21))\/(6\/(-21)). Solve -b*i - 4*d + 14 = 0, -3*i - d + 5 + 1 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -805 + 912. Let k be ((-4)\/(-2) + -2)\/(-2). Suppose -t + 1 = k, -2*t = -h - 6*t + q. List the prime factors of h.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*3\/((-6)\/(-55)). Let g = u + -24. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 118, 431, 956, 1693, 2642, 3803?\n\"Answer: 106*l**2 - 5*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 4*k + 190 = 0, -2*k = -4*j + k + 265. Let t(o) = -41 + 21 + 21 + j*o. Is t(1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20 and 2980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 185589*b**2 + 468517*b - 1?\nAnswer: 371178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/((-5)\/((-70)\/(-4))) + -2. Solve -u - 2 = b + 4, 2*u - t*b = 23 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -465 - -459. Sort 2, 0, v, 5 in descending order.\nAnswer: 5, 2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * 1.3.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggggaglzcaccag. What is prob of picking 1 g, 1 c, and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 3*f**3 + 3*f**2 + 13*f - 6. Let v(c) = -2*c**3 - c**2 - 11*c - 5. Let k(y) = 3*g(y) + 4*v(y). Calculate k(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 2*u**2 - 27*u + 16. Let w be q(13). Is (-6507)\/(-72) - w\/8 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from uzvuunvvezvvh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 113, 258, 437, 650?\n\"Answer: 17*x**2 + 94*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3208820 - 6417556 + 0*y + 0*y + 3208736 - 5*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 122240000 rounded to the nearest 1000000?\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 386650 and 43586?\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sssssss. Give prob of sequence sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -u + 3*u. Let r be 3 - 0 - (-4 - u). What is the derivative of 2 - 6*p + 7*p**r - p + 7*p wrt p?\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2070811\/1840728 + 1\/230091. Factor -3\/8*q**4 + 0 + z*q + 3\/8*q**3 + 15\/8*q**2.\nAnswer: -3*q*(q - 3)*(q + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in 2, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10014)\/9*5\/(5\/6). Let u = g + 9905. Let a = -386 + u. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 50.14 + -13.64. Round f to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 114 (base 16) in base 12?\nAnswer: 1b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.356251 millilitres in litres?\nAnswer: 0.009356251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -194 divided by 123.\nAnswer: -194\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10784 - -23799. Suppose -q - 2*o + 5651 = 1316, -3*q + 4*o + d = 0. Suppose 0 = f + q - 737. Round f to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 - 252*s. Let k(x) = -5*x - 12. Let q(m) = 6*m + 15. Let p(u) = -5*k(u) - 4*q(u). Determine p(a(r)).\nAnswer: -r**2 - 252*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*z**4\/5 + 3120*z**3 - 36367*z**2\/5 + 5540*z - 6924\/5 = 0.\nAnswer: 2\/3, 1, 1731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 741 and 2613.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, t: 1, q: 3, b: 3, g: 2}. Give prob of picking 1 p, 2 g, and 1 b.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6884, -34402, -80268, -144482?\nAnswer: -227044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**1)**(-2\/35)*((f**(-1\/2)\/f)\/f)**(-38) assuming f is positive.\nAnswer: f**(3323\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1060250 (base 7) to base 2\nAnswer: -100000010001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5215 is divided by 5204?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 103448 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 365830748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -612887*s**3 + 3649 + 612872*s**3 - 3649.\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/141427 and -15\/14168414.\nAnswer: 155852554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wrvzvnq. Give prob of sequence qn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6 - 603\/(-36))*4. What is the greatest common factor of 1075 and o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*(-6)\/6*55\/((-6930)\/(-5103))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -42 - -41. Let b be 5*(5 + 4\/a). Let j(f) = f**2 + 4*f - 3. Let p be j(-5). Sort p, b, 3.\nAnswer: p, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-40)\/(-4) - 9766\/1596 and -145\/498.\nAnswer: 3486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/334763 and 101\/78?\nAnswer: 2008578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 472963998\/7 or 67566284?\nAnswer: 67566284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/14 + (-4050)\/35. Let p be r\/(-30) - (-14)\/105. Suppose 4*f + j + 0*j = 132, -2*f + 48 = -p*j. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -42935672 divided by -2236\nAnswer: 19202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 13 and 21.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 143307 divided by 2?\nAnswer: 143307\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**0\/a)**(-23)\/(((a\/(a*a\/(a\/(a\/a**(-12)*a))))\/a)\/a**(-3\/10)))**29 assuming a is positive.\nAnswer: a**(10933\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4\/31 + -39\/62. Put 0.8, 0.1, r, 1\/6 in increasing order.\nAnswer: r, 0.1, 1\/6, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141465 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -156037400 rounded to the nearest 100000?\nAnswer: -156000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/((-2 + 4)\/96). Suppose 3*d - 7*d + y = 0. Suppose -70 = -533*i + 498*i. Calculate the lowest common multiple of i and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -29750*h*y + 6679*h wrt y.\nAnswer: -29750*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/13 + 880\/(-143). Let j = c - -10. Sort 3, -3, j in ascending order.\nAnswer: -3, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*i - 163 = -427 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 4*x + 18, -2 - 1 = 3*z - 4*x. What is the third derivative of -73*k**z - 30*k**2 + 12*k**6 + 36*k**6 + 73*k**3 wrt k?\nAnswer: 5760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 80 - 126. Let q = 45.8 + n. Let f = -233 + 231. What is the closest to q in 3, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -4*f**2 + 2*f + 5. Let u(k) = -18*k**2 + 4*k + 16. What is 4*q(a) - u(a)?\nAnswer: 2*a**2 + 4*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -g - 210, 5*a - g - 376 = 149. Suppose 7 + 5 = x. What is the remainder when x is divided by a\/5*(-1)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 6055263, 6055228, 6055191, 6055152, 6055111, 6055068?\n\"Answer: -z**2 - 32*z + 6055296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 5*h = 4, 2*c + 3 = -4*h - 1. Let b = c + 9. Suppose -3*n + 16 + 5 = 0. Is n greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4\/(-2)*(-30)\/4 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-26)\/(-117) + 68\/18 + 2. Suppose 0*u + v*u - 30 = 0. Find the third derivative of -23*m**u + 5*m**5 - 10*m**2 - 2*m**5 - 3*m**2 wrt m.\nAnswer: -1200*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/16*-2 - 2. Let c be 2*(-10)\/4 - -2. Put -4\/3, p, c in descending order.\nAnswer: p, -4\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 11800\/((-1388)\/13186 - 2\/(-7125)*356). Round u to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 9, p: 8, h: 2}. Give prob of sequence xphx.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3083198 is divided by 630?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -6617 at most -6686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 231711826?\nAnswer: 2, 653, 177421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -36*z**2 + 121*z + 151. Let w(d) = 12*d**2 - 40*d - 57. Determine -3*g(a) - 8*w(a).\nAnswer: 12*a**2 - 43*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 1835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4*3\/(-20)*(-1875)\/(-450))\/(-20)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*x + 14 + 21. Suppose -198 = -x*j - 4*j. Calculate the smallest common multiple of j and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 717 = -3*i, -4*i = -3*h - 0*i - 682. Suppose -3*f + 142 = -5*a - 565, 243 = f + 2*a. Let n = f - h. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 235 and -0.5?\nAnswer: -117.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*515.\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/8)\/((-117)\/(-6084))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(60) + sqrt(300)\/(-1*sqrt(5)))\/(((5*sqrt(210))\/sqrt(10))\/sqrt(7)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1400273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 783 and 870?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -28 in 0, 0.05, 0.3, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 - -11. Suppose -230*w + 1490 = 110. Suppose -w*n = n - i. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8878400767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 201.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - -4. Suppose m*o - o = 40. Let y = -2 + 10. What is the smallest common multiple of o and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*g + 22 + 2 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -518*v + 70. Let b(f) = 3*f - 5. Determine 84*b(s) + 6*g(s).\nAnswer: -2856*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19 by -648227.\nAnswer: -19\/648227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 2*w**3 + 383*w**2 - 8*w + 28. Let l(v) = -v**3 - 385*v**2 + 6*v - 21. Determine 4*l(k) + 3*o(k).\nAnswer: 2*k**3 - 391*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6*6\/(-9))\/((-12)\/(-9)). What is the derivative of 21 - 11 + 16*h - a wrt h?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 127 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/4917 or -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g**2 - 3*g**2 - 2*g**2)*(4 - 4 + g) - 6*g**2 + 6*g**2 - 8*g**3 + 2*g**3 + g**3 - 2*g**3.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 - 5*g**2 - 2*g - 7. Let c be p(-5). Solve 6*j = -4*u + j + 35, -c*j = -5*u + 16 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 11*(-2 - (-2 - -1)). Let r(x) = x**2 + 13*x + 19. Let h be r(m). Let n = 1 + -1.6. Is h not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -21 + 39. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9607.2 times -5?\nAnswer: -48036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -98 + 100. Sort 3, w, -25, 0 in decreasing order.\nAnswer: 3, 0, w, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 0 - 225 = 0. Suppose 0 = -2*o - 3*o + u. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -87883366144660 - 0.4?\nAnswer: -87883366144660.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -4*z**3 + z + z**2 - 3 + 0*z**2 + 5*z**3. Let v = 38 + -38. Calculate q(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 PM and 8:46 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -36 - r + 0*r + 5*r + 4*r. Let a be t(5). Find the second derivative of -d**a + 2*d**4 + 18*d + 11*d**4 + 17*d wrt d.\nAnswer: 144*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + -27 - (291 - 305)) + -14 + 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tddd when four letters picked without replacement from dddttdddaddad?\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 3 i when four letters picked without replacement from {d: 3, k: 2, s: 3, u: 1, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.11  (b) 1  (c) -21\/2  (d) -4  (e) 0  (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*j - 8*j - 3*i - 637, 0 = 5*j + 4*i - 609. What is the least common multiple of j and 20?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 456954?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d + 0*d - 6 + 5)*(-10*d + 55*d - 24*d).\nAnswer: 84*d**2 - 21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 77 and 244407482.\nAnswer: 1710852374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5217 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.104 and -7785?\nAnswer: 7784.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -46 - 50. Suppose v = s + s. Calculate the remainder when 35 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 70 + -76.9. Let o = h - -7. Let x = o - -1.9. What is the second smallest value in x, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-14) + 45\/21. Which is the closest to -1?  (a) 3  (b) i  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 7 + 8 = 0. Suppose 0 = -s*t - 20, x - 5*t + 15 = 40. Let z be (x - 2) + 56*1. What is z rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:57 AM and 2:17 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fppuqpffpffuf. Give prob of sequence pqp.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7355141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 356982 and 12.\nAnswer: 713964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2\/7 + 74090*w\/7 - 2298712\/7.\nAnswer: 2*(w - 31)*(w + 37076)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -0.4, 0.132, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -1362*z - 23210. Give k(-17).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 0 = -25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (22\/(-33))\/((-2)\/(-84)). Let l = c + 32. Calculate the remainder when 6 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -3*r**2 - 3*r**2 - 3107*r - 2*r**2 + 3101*r. Let v(j) = -7*j**2 - 5*j. Calculate 5*b(q) - 6*v(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 - 7*z + 46. Let a be c(4). Let x be 49\/((-245)\/(-90)) - -1*a. Let f be 2\/4 + (-478)\/(-4). Calculate the highest common divisor of f and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-2\/7))**50\/((l*l**(-1\/5)*l)\/l**8))\/((l**(-1)*l*l*l\/(l**(2\/13)\/l)*l)\/(l**7\/l**(-1\/4))) assuming l is positive.\nAnswer: l**(-8521\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -4*t - 4. Suppose 2*u - 9 = 9. Suppose 5*p = -g + 8*p - u, 4 = -2*g - p. Calculate x(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1100022222 (base 3) to base 11.\nAnswer: 18999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -113.7 and 1147623.\nAnswer: 1147509.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 4 - 6*y + 4)*(-129 - 70*y + 144 + 102*y).\nAnswer: -192*y**2 - 26*y + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/2*v**2 + 32 + 8*v = 0. What is v?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*g**2 + 573 - 632 - g**3 - 23*g + 3*g.\nAnswer: -g**3 + 15*g**2 - 20*g - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 638*m. Let c(b) = 107*b. What is c(h(a))?\nAnswer: 68266*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + 7. Suppose 771 + 869 = 40*y. Let n(s) = y - 2*s**2 - 53 + 7*s + 14. Determine n(q).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b**3 + 28*b**2 + 48*b = 0.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c + 691 = 619. Solve 5*j = 5*q, 5*q - j = 8*q - c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 AM and 9:19 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -11864 bigger than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 246062605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9657980 - 0.4.\nAnswer: 9657979.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 - -46 - -43 - (18 - -13)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 9:43 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/932970 and 149\/4110.\nAnswer: 932970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.06, -0.5, -0.1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(147)*-1*3 + sqrt(147))**2 - (-4 + sqrt(147) + -1)**2 - 1*(sqrt(3888) + (sqrt(3888) + 0 - sqrt(3888))**2).\nAnswer: 34*sqrt(3) + 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 3*p = -30, -3*n - 2*p - p = -48. Suppose -15*i = -n*i - 22. Calculate the greatest common divisor of i and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2205) - (sqrt(2205) - sqrt(2205)*1)) + -2)**2 - (5*(sqrt(125) - (sqrt(125) - (sqrt(125) + sqrt(125) + sqrt(125) + 1 + -3))))**2.\nAnswer: -26016 + 1416*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 112513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(119)\/(sqrt(21)\/sqrt(3))*-2 + -2 - (4*sqrt(102)*1)\/(sqrt(726) - 2*sqrt(726)).\nAnswer: -18*sqrt(17)\/11 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/1)\/(2\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -1) + (-17 - -12) + (-9 - -79 - 11)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4004)\/(-715)*100\/70?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the third derivative of 11*o**6\/40 + 55*o**3\/6 + o**2 + 14*o. Differentiate h(j) with respect to j.\nAnswer: 99*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 195e9d (base 16) to base 15\nAnswer: 22c966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 538237 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k. Let u(h) = 12*h + 10*h - 38*h + 56 + 70 + 14*h. Calculate g(u(q)).\nAnswer: 2*q - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 222*w - 1667. What is n(8)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(44) - (sqrt(176)\/sqrt(4) + 0))**2 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 203394 is divided by 1007?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.0559 - 0.0559. Let k = -0.52 + -4.48. What is the second smallest value in k, a, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the third derivative of 8537*a**7\/210 - 3469*a**4\/24 + 79*a**2 - a. Find the second derivative of i(c) wrt c.\nAnswer: 102444*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of y**5\/130 + 59*y**4\/78 + 506*y**3\/39 + 784*y**2\/13 - 3*y - 646. Determine m, given that u(m) = 0.\nAnswer: -49, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -106*p + 23*p + 24*p + 26*p - 1 + 23*p. Let x(s) = 9*s + 2. What is -3*g(h) - 2*x(h)?\nAnswer: 12*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -2*r**2 - 13*r - 16. Let b(a) = -3*a**2 - 12*a - 17. Let u(s) = 3*b(s) - 4*o(s). Let l be u(10). Let p = l - 18. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 - (-13 + 7 - (-3 - 0))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -4650, -4649, -4648, -4647, -4646, -4645?\n\"Answer: y - 4651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -35890, 5.\nAnswer: -35890, -10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 - 4*q**2 - 6*q - 1. Let a be g(-6). Let o = a - 44. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.121 + -7.221. Let o = k + 9.1. Let y = 1 + -2. What is the biggest value in -4, o, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 27 + -27. Suppose a*y + 186 = 5*y + 4*w, 3*y = 5*w + 119. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-9) + 1 + -1. Let j = -5.8 + -15.8. Let o = 21.6 + j. Put -1\/2, o, d in descending order.\nAnswer: o, d, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3723.45 litres in millilitres?\nAnswer: 3723450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*f + f + 2*f)*(1 + 8 - 1) as j + g*f and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-297)\/36 - -8 - 0. Suppose -5*b = u - 5, 2*u - 11 = -4*b - 1. Put u, 2, w in descending order.\nAnswer: u, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(5\/4))**(15\/2)\/(x**(-16)*x**8) assuming x is positive.\nAnswer: x**(139\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 3*z**2 - 445*z + 8873. Calculate v(20).\nAnswer: 1173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -15*w + 24. Is k(-6) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35721 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -160197*n**3 + 797*n**2 - 797. Let a(t) = -805*t**3 + 4*t**2 - 4. Give 797*a(m) - 4*x(m).\nAnswer: -797*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 2*i. Suppose -3*p + 2*p - 5*a - 14 = 0, 4*a = -5*p - 7. Suppose d + 3*q - 16 = -p, -3*q - 60 = -4*d. What is the units digit of h(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -95, -156, -253, -386, -555, -760, -1001?\nAnswer: -1278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from hhhhaihvhvvkiai.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 166*p - 24*p + 1663 - 1663.\nAnswer: 142*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1 + (-12)\/(-10))*55\/(-66). Let h = -28.1 - -27.9. What is the third biggest value in k, h, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560.6649l in millilitres?\nAnswer: 560664.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99879*u**5 - 12367602*u**4 + 381778923*u**3 + 66750576*u**2 + 3469644*u + 46128 = 0.\nAnswer: -1\/13, -4\/197, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 496 and 77376?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 3*i**3 + 3*i**2 - i - 1. Calculate the remainder when y(1) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -493*w**2 - 86*w. Let m(l) = -176*l. Give m(y(i)).\nAnswer: 86768*i**2 + 15136*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6 + (-36)\/((-12)\/3). Suppose 0 = -a*m - m + 256. Let i = -21 + 33. What is the greatest common divisor of i and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 5 = 3*f, -52*t + 57*t = -f + 13. Solve -t = 2*d, 4*v + 13 - 18 = -3*d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -4*v - 2. Let o(l) = l + 1. Let r = 11 + -13. Suppose -5*f - 3 = 2. Let j(c) = f*y(c) + r*o(c). Let q(a) = a. Determine q(j(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, t: 6, m: 4}. What is prob of sequence mr?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 360 and 855?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 12\/10*(5 - 0). Suppose -2*j - s + 3 = -w, 2*s = 4*j - 14. Suppose u - 51 = -j*u + 3*g, -u - g + 7 = 0. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12*h**4 + 6555*h**5 + 38*h**2 - 6556*h**5 + 3*h**2 wrt h.\nAnswer: -60*h**2 - 288*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 105\/45*-4*(-6)\/8. Solve -4*v - 31 = -z for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 51 + -41. Suppose -8*d - 4 = -n*d. Suppose -d*i + 785 = -i - 3*b, 2*i + b = 1598. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-34)\/17)\/((-2)\/(-66)*-2). What is the greatest common divisor of 77 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2615353 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -45021, -2, 18.\nAnswer: -45021, -2, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1730 = 2*h + 360. Let u = h + -685. Solve -5*d + u*d + 3*b + 16 = 0, 0 = 5*d + 2*b - 31 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*b - 123*b = 2635 - 1035 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -0.3  (c) 2.3  (d) 4  (e) -124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(2\/11)\/b*b**(-19\/2)\/b assuming b is positive.\nAnswer: b**(-249\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -366 - -660. Let i = x - 101. What are the prime factors of i?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 13. Suppose 0 = -q + 2*r, -2*q - 2*q + 9 = -w*r. Suppose -a - 3 = 2*j, 0 = a + 3*j - q*j - 7. What is the closest to -0.1 in 0.1, a, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5588 + 9807. Let d = m + -2906. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + 6*t**2 - 17*t - 6. Determine g(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y - 2*y - y. Suppose 0*f = 4*a - f + 17, -4*a - 3*f - 13 = 0. Calculate the remainder when j(a) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 - 33 + 13*m - 19 + 31 - 9 + 11*m**2. What is the lowest common multiple of d(-9) and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*h + 17*h - 18*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 227.3*-12.\nAnswer: -2727.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 249 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 4418, 8682, 12946, 17210, 21474?\n\"Answer: 4264*n + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**2 - y - 1. Let p be i(-1). Let z = p - -1. Let b = z + 1. Let w(h) = h - 1. What is w(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/(-9 - 0) - 1. What is the third biggest value in -0.5, -5, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6386, -12795, -19264, -25823, -32502, -39331, -46340?\nAnswer: -53559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6570889 rounded to two dps?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*h + 1 - 12*h**2 + 7 - 7 - 6*h**2 to the form t*h + f + p*h**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -5*x + t + 27, 3*x - t = 17. Let o = -20 + 50. Let j be o\/4 + (-3 - -2). Which is smaller: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 107346523399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v**(2\/5)*v)**(-2\/13)*(v**(1\/5))**(-2\/9) assuming v is positive.\nAnswer: v**(-332\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 27996*j**3 + 3*j**2 + 3*j - 2. Suppose -5*k + 25 = -0*k. Let q be a(k). Let n = -10900412 - q. Round n to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1  (b) -3  (c) 4  (d) 8  (e) 5  (f) 2  (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3081 + 49331\/16. Calculate the common denominator of -105\/22 and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14, -18, -10, 16, 66, 146, 262?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - -1. Suppose -8*s + 530 = -6*s - 3*o, t*s - 2*o = 530. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1561512679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 + 3)*3\/3. Suppose l*f = 3*x - 26, 3*x - 5*f = 2*x + 13. What is the smallest common multiple of 1 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes before 7:58 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 3*t = 13. Let m = 13 - 21. Let c = m + t. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/3)*k\/k**(-6)*k)\/((k**2\/k)\/k**(1\/2))*(k*k**(2\/7)*k**(-5\/6))**(3\/2) assuming k is positive.\nAnswer: k**(659\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 2\/11, -0.01 in descending order.\nAnswer: 2\/11, -0.01, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1318*s**6 - 2094*s**2?\nAnswer: 158160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 320383928.4 rounded to the nearest one hundred thousand?\nAnswer: 320400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 < 14.60330949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -23*c + 53. Let u(t) = 71*t - 160. Let s(a) = -8*p(a) - 3*u(a). What is the first derivative of s(h) wrt h?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-8)*(20 + -8)*(-2)\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from awwwwwwawwwawawaww. Give prob of sequence aa.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of -1\/6*i**3 + 0 - 6*i - 5\/2*i**2. Find the first derivative of v(n) wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 153059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 - d. Let t be m(1). Suppose -9 = -4*s + f, -5*f = -t*s - 2*s - 9. Suppose -s = -5*q + 37. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1718 + -1781 - (-31 + -1) - (-2 + 13)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5.04 - -0.04. Let r be 23\/(-48) + -2 - -3. Let x = r - 3\/16. Which is the third smallest value?  (a) 0  (b) x  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the second derivative of 0 + l - 1\/6*l**3 + 1\/12*l**4 + 2*l**2. What is the units digit of p(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6348067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(-32\/5))**(-5\/11)\/(c*c**(-4)*c\/c**(2\/15)) assuming c is positive.\nAnswer: c**(-203\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34100 is divided by 622.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 0 - 4 - (-7 + -16) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5137*x - 6288*x = -58701 for x.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -61251*l + 4. Let o be k(4). Round o to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.26 + 10.74. Let q = o + -12. Let d be ((-2)\/(-1))\/(0 + 9). Put -3, q, d in decreasing order.\nAnswer: d, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -4*v**2 + 11*v. Let i(q) = -3*q**2 + 10*q. Let u(b) = 5*b**3 - b**2 - 20*b - 19. Let y be u(-1). Give y*j(p) + 6*i(p).\nAnswer: 2*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*q + 12 - 180. Let i(d) = -33*d**3 + 17*d**3 + 29*d**2 - q*d**2 + 15*d**3 + 1. Let f(c) = 2*c**2 + 2*c + 2. Give f(l) - 2*i(l).\nAnswer: 2*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 427313581?\nAnswer: 17, 25136093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a centimeter in millimeters?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*a + 21*a - 4*a - 15*a - a + 18*a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a + 1. Let t(v) = -v - 1. Let j(o) = -26*o - 28. Let k(u) = -j(u) + 6*t(u). Let c be (-26)\/(-10) + (-495)\/825. Give c*k(q) - 44*i(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 101476 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3155845*t - 1482792 with respect to t.\nAnswer: -3155845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(((6*-3*sqrt(56))\/(sqrt(56)\/(sqrt(7)*-2)) + 5)**2 + -1).\nAnswer: 2160*sqrt(7) + 54576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 94 = 18. Let w(z) = -z**2 - 45*z + 159. Let l be w(-41). Calculate the greatest common factor of l and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**2 + 10*f - 11. Let q be i(-11). Suppose -u = -q*u - 5. Suppose -u*z + 338 = 128. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 2 + 24 + -28.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the third derivative of m**5\/20 + m**4\/12 + m**3\/3 + 36*m**2. Let y(r) = -10*r - 15*r**2 + 2 - 3 - 7 - 2. Calculate -11*b(q) - 2*y(q).\nAnswer: -3*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*s + 3163 + 26776. Let d = -923 - s. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v + 1696. Let y be l(0). Suppose -k + 4*u = -3*k + 868, -2*u = -4*k + y. What is the common denominator of -51\/2 and k\/44 + 26\/(-22) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-6)*(-19)\/(6080\/144)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -29.228954 rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: -8 times 0.03\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -179*r = -1407 + 1407. Suppose 0 = 3*k - 3*a + a - 1, -k + 5*a - 17 = 0. Let i = 6 + -10. Sort r, k, i in increasing order.\nAnswer: i, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 45\/(-225) - 2\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(54)\/(sqrt(6)*-1))\/(sqrt(3) + sqrt(147)*1) + -2 + (1*sqrt(363) - sqrt(3)) + (sqrt(3) - (4*-1*sqrt(3) - sqrt(3))).\nAnswer: -2 + 127*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (29 - 225 - 92)*(-55*v + 44 - 44) as t*v + p and give t.\nAnswer: 15840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/((-12)\/(-17)) - (-18)\/3.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/3 + ((-76)\/(-21))\/(-4). Let i = 7 - -3. Let v = -11 + i. Which is smaller: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -404 and 40.929405.\nAnswer: -363.070595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 0 = 10. Let a(p) = p**3 + 12*p**2 - 16*p - 38. Let l be a(-13). Solve -z - 4*d - l - j = 0, 0 = 3*z + 5*d + 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -62 - 37?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.005 + -0.505. What is the closest to -0.1 in a, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 39 - 9 = 5*t, 0 = -t - 2*k + 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -55 (base 11) in base 4?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v. Let y(i) = -i**2 + 6*i - 11. Let c(k) = -6*s(k) - y(k). Determine r so that c(r) = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24 - (10 - (-17 - -10 - -5))) + 4 - 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of 131 - 69*v**2 + 0*v**3 + 0*v**4 + 0*v - 73\/5*v**5. Find the second derivative of u(p) wrt p.\nAnswer: -876*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 21*n**2 - 21*n**2 - 10*n**3 + (-1647*n - 2 + 5 + 1662*n)*(n**2 + 3 - 3).\nAnswer: 5*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - (9 + 8))*-4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (-14 - (-9 - 0)) + -8\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 2*q**4\/5 - 12*q**3\/5 - 56*q**2\/5 + 12*q\/5 + 54\/5 = 0.\nAnswer: -3, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.0190838 micrograms?\nAnswer: 0.0000000000000190838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.385669116 - -1.56?\nAnswer: -11.825669116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fffeffffefwfwefe. What is prob of picking 4 f?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 35202546 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -7, -1\/7, 0.006, -2\/5, 5.4, 3, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 102623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/3 - 40*x**2\/3 - 77*x\/3 - 38\/3.\nAnswer: -(x + 1)**2*(x + 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*t + 1220 = 38*t. List the prime factors of t.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -14*c + 671. Let x be y(46). Put x, -13, -1 in decreasing order.\nAnswer: x, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 352479, 704954, 1057431, 1409910, 1762391, 2114874, 2467359?\n\"Answer: m**2 + 352472*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes after 6:12 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 10  (c) 7  (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 9 - 9. Suppose -f + 3*d - q*d = 14, -4*f - 16 = 2*d. Suppose -5*p + 0 + 10 = 0. Sort f, p, 3.\nAnswer: f, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -691489437, -1382978876, -2074468315, -2765957754?\n\"Answer: -691489439*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-50*m + 67*m - 60*m)*(-8209 + 8209 - 827*m).\nAnswer: 35561*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -77 - -331. Suppose -w + 2*w - n = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4486*i - 3986 - 500 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39915909.\nAnswer: 3, 11, 109, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.55 + 2.64. Round h to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*q - 6*g = -75*q - 30, -12 = 2*q + 5*g for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 650 is divided by 296.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58338 is divided by 662?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -288.8 - -318. Let f = h - 29. Let d be (5\/(-3))\/(2\/6). What is the second smallest value in d, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 2*j + 21. Let a be t(-9). Suppose 0 = a*y - 8*y + 170. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10*(-20)\/(-300))\/(338\/84 + -4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40461?\nAnswer: 3, 13487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -60ba - -7?\nAnswer: -60b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(1\/2)*h*h)\/(h**(-3\/13)*h)*h**(4\/9)*h*h\/h**17)**(22\/5) assuming h is positive.\nAnswer: h**(-33011\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the second derivative of 13*q**3\/6 - 14*q. Let k(b) = -b. Give i(k(p)).\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 5*x = 18, -10 = 4*x - 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -172197753, -344395497, -516593239, -688790979, -860988717?\nAnswer: -1033186453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 - 28*z**2 - 225*z - 19. What is w(-15)?\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.4328 take away 35?\nAnswer: -52.4328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**2 - 1 + 1)*(-2*c**2 + 2*c**3 + 2*c**2) + 266 + 3*c**3 + 3*c**5 - 266.\nAnswer: -c**5 + 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 + -1)*((-1 - -2) + -2). Suppose u = 2*w + 5*n - 214, -3*n = -4*w + 438 - 36. Suppose -5*t + w + 123 = 0. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1595?\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -505 - 503 = -4*j. Let q = 152 + j. What are the prime factors of q?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54*-0.06.\nAnswer: -3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*a + 60 - 9 - 15*a + 46*a**2 - 25 to i*a + d + w*a**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 v when four letters picked without replacement from {p: 3, v: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -31900*y**3 - y**2 + y + 2. Let p be j(-1). Round p to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 127 a factor of 41574760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + 1100001?\nAnswer: 1100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -42\/11 and 2\/375.\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -11.269 - -3\nAnswer: -8.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 154.25 and -1243.\nAnswer: -191732.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - -10001011110110010111111?\nAnswer: 10001011110110010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 307202.\nAnswer: 2, 7, 21943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*v - 60 = v. Let n(x) = -x**2 - 5*x. Let z be n(-3). What is the highest common divisor of z and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2271.6ug in nanograms?\nAnswer: 2271600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 8605754, 8605757, 8605760, 8605763, 8605766, 8605769?\n\"Answer: 3*l + 8605751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Express -i**2 + 60*i + 8 - 18*i - 2 + 2 - 15 in the form r*i**2 + p*i + k and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 701788 is divided by 1453?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*r**3 + 13*r - r**2 + r**3 - 3*r - 2*r**4 + 2 - 8*r to the form y*r**3 + h*r + u*r**2 + i + j*r**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 110*p**3*y - 11*p**2 + p*y - 16 wrt p?\nAnswer: 660*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/(((r**(2\/3)\/r)\/r)\/r))**(-22))**(1\/4))**(-32) assuming r is positive.\nAnswer: r**(1760\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21\/(-7))\/(42\/112)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-32)\/(-6192))\/(3\/((-54)\/(-2)))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + -20222112011?\nAnswer: -20222112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 4*r**3 + 2*r**2 - 17*r - 7. Let l(d) = 2*d**3 + d**2 - 8*d - 3. What is 7*l(t) - 3*p(t)?\nAnswer: 2*t**3 + t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -2223434.4 to the nearest ten thousand.\nAnswer: -2220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 303*w - 303*w + 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 2*a + 25, -2*d - 7 = -a - 17. Solve 0 = -d*n + 4*b - 3 + 27, -n + 4*b + 8 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 88 = 2*n, 5*d - 26 = -n - 0*d. Let l = 61 - 59. Suppose 2*q = f + n, -l*q + 0*f + 59 = 5*f. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7.9 - 8. Let i = f + -1.9. Let d be (-12)\/(-16)*(-24)\/(-117). Sort d, 1, i in descending order.\nAnswer: 1, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*f**5\/5 - 1686*f**4\/5 - 7894*f**3\/5 - 13646*f**2\/5 - 10314*f\/5 - 2884\/5 = 0.\nAnswer: -206, -7\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 600 + -667 - (-1 + 22) - (1 - 0 - 14)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25\/2*o + 1\/2*o**3 + 0 + 13*o**2.\nAnswer: o*(o + 1)*(o + 25)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*i - 8, -29 = -4*o - 2*i - 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 - 9*q - 255. Let v be i(-12). Which is the fifth smallest value?  (a) -2\/13  (b) v  (c) -3\/4  (d) 0.2  (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ueekqkgeueeuueeguuu. Give prob of sequence eekg.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 194 and 3201?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4177923 litres to millilitres.\nAnswer: 417.7923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -2*p - 442, -3*p + 216 = d + p. Let i = -97 + d. Suppose -4*k = -k - i. What is the remainder when k is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of f**6\/15 - 3*f**5\/5 + 4*f**4\/3 + 2*f**3 - 9*f**2 - 2*f - 3. Factor h(x).\nAnswer: 2*(x - 3)**2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22 + -20. Suppose o + 4*w - 56 - 36 = 0, -s*w + 532 = 5*o. Calculate the highest common factor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002634 to five dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llbz when four letters picked without replacement from zzluklb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 32 - 26. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 96, 45, -168, -627, -1416, -2619, -4320?\nAnswer: -6603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 768, 764, 746, 708, 644, 548, 414, 236?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 38 and 646.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 - -2)*(-2 + 2). Let n(m) = -m**2 + r*m + 0*m + 0*m**2. Let g(u) = u. Give n(g(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 40202 (base 5) in base 2?\nAnswer: 100111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1325158, -1325088, -1325018, -1324948, -1324878?\nAnswer: -1324808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 52*b - 48. Let f be n(1). Let i(o) = 3*o - 2. Let j(d) = 1. Let p(l) = i(l) - 2*j(l). Give p(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 + -18. Solve -i - l = y, -2*l = -2*i + 15 - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*c**2 - 4*c**2 - c**2 as a*c**2 + s + x*c and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5683*s = -5916*s + 2097 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fuaaf. Give prob of picking 1 u and 2 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 634, 0.11, -171?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2*w**2. Let h(i) = i - 3. Let t(a) = 2*a - 4. Suppose 6*n + 20 = n. Let p(r) = n*h(r) + 3*t(r). Give f(p(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one fifteenth of a day?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/5901 and -131\/333828?\nAnswer: 2336796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 y, and 2 j when four letters picked without replacement from {e: 2, j: 10, y: 2}.\nAnswer: 180\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 7, b: 2}. What is prob of picking 3 x and 1 b?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.7 times -1.1?\nAnswer: 8.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3765 is divided by 631?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 4, 3, 233 in ascending order.\nAnswer: -6, 3, 4, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-67)\/4020*(-8)\/(-2).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2057, 8529, 19355, 34541, 54093, 78017, 106319, 139005?\nAnswer: 176081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeeeepepeeeeeeeeee.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/((p**(-22)*p*p)\/p)*p)\/(p*(p*p**(-25))\/p)*(p**15*p)\/(p\/(p\/(p\/(p*p*p**(-6)*p))*p)) assuming p is positive.\nAnswer: p**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/1727747 and 10\/11.\nAnswer: 19005217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 27032001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(200))*-5.\nAnswer: -50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 10*w**2 + 3*w - 3. Let h be r(1). Suppose -261 - 559 = -h*s. What are the prime factors of s?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22.22261293 rounded to 0 dps?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19808 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*t - 0. What is the smallest value in -1\/5, 0, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 3*p - 2. Let r(n) = n + 3. Let g be r(-5). What is f(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 28*z - 14. Let v(w) = w**3 - 9*w**2 - 8*w - 14. Let t be v(10). Let f be h(t). Suppose 0 = 3*s - 8 - f. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -721, 4, 5, 1, -5, -118, -2.\nAnswer: -721, -118, -5, -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2 - 5363220*l + 7191032192100.\nAnswer: (l - 2681610)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 36\/2435 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 + 17*o**2 - 2475*o - 37370. What is m(-15)?\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 6*o**2. Let r(w) = -1415*w - 289. Give r(k(j)).\nAnswer: -8490*j**2 - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14736*t**4 - 2*t + 11596 wrt t.\nAnswer: -58944*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -289431 - 546*a + 693*a - 1490*a - 5*a**2 - 917*a + 34051 = 0. Calculate a.\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0.02, -440, -0.3, 128.\nAnswer: -440, -3, -0.3, 0.02, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -47567600 divided by -25\nAnswer: 1902704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*b - 271 = -293 - 451 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*l + 5*l - 65*l.\nAnswer: -87*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 73164437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzzzzzrzzrzzjzzz. Give prob of sequence rjr.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57170, 57174, 57178, 57182?\nAnswer: 57186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -423*w + 379. What are the prime factors of q(-53)?\nAnswer: 2, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2692, 2704, 2728, 2770, 2836?\n\"Answer: o**3 + 5*o + 2686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -4*j**5 - 752*j**4 + 16184*j**3 - 94288*j**2 + 117580*j + 228800 = 0?\nAnswer: -208, -1, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**2 - 84*c - 80.\nAnswer: -4*(c + 1)*(c + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -25 + 3. Let l = z + 26. Let k(s) = 2*s + 3*s - l*s. Let o(g) = -8*g**2. Give k(o(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 35, 84, 157, 266, 423, 640, 929, 1302?\n\"Answer: 2*y**3 + 35*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + -4. Let z(l) = -l**3 - 5*l**2 + l + 2. Let k be z(s). Suppose -4*a - k + 212 = 0. What is the remainder when a is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4*(-6)\/9*87\/58. Solve -k*s - 20 = 0, -7*h + 5 = -3*h + 3*s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k*k**16)\/k)**(-15) assuming k is positive.\nAnswer: k**(-255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21.25 + -0.25. Let h = y + -20.5. What is the closest to 2 in -4, -3\/2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**2\/r)**4)**(-14) assuming r is positive.\nAnswer: r**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4949*v - 4864*v - 526 = 1089 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3666843 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + 6\/4*2. Suppose -x*j + 2*j = -18. Suppose t = 8 + j. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1003 - -688. Let c = -178 - x. Let z = -135 + c. Which is greater: z or -1\/34?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -57 + 14*o + 4*o + 2*o + 5*o. Let q be x(5). What is the highest common divisor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 2572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 645615, 1291275, 1936935, 2582595, 3228255?\n\"Answer: 645660*p - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.051 + -4.349. Let n = -1.5 - r. Let f = n - 2.9000028. What is f rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -132*v**2 + 465*v**3 + 37*v**2 - 473*v**3.\nAnswer: -8*v**3 - 95*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30993, -31107, -31221, -31335?\nAnswer: -31449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 5*p - 50, -5*p + 2 = -2*t - 13. Find the third derivative of -2*y**5 + 7*y**3 - 25*y**2 + 3*y**5 - 2*y**p + 5*y**5 wrt y.\nAnswer: 240*y**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 289396?\nAnswer: 2, 71, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -2, 3, -1562, 5, 0, -3, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2315806 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*v + j = 17*v + 10, -6*j + j = 0. What is the nearest to -1 in -5, -4, 1\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the second derivative of 0*p**2 - 17\/6*p**3 - 1\/12*p**4 - 45*p + 3. Factor w(l).\nAnswer: -l*(l + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8 - 1 + 65*f**4 + 0 - 75*f**4 - 9 - 10*f**2 to s*f**4 + w*f**2 + q*f + k*f**3 + p and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -44 - -48. Suppose 0 = 2*z + 3*f - 19, 3*z - 27 = -f - 3*f. Solve -11 = o - z*a - 0, t*a = -2*o + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3)\/((-36)\/(-184)))\/((-4)\/30). Let a = y + -127. What is the tens digit of ((-112)\/a)\/14 + 890\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (47 + 42 + 1969\/(-22))\/((-97)\/(-4))?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - -5 - (-2 - (2 + -15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 AM and 5:34 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - -7) + (-6 - -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3\/10 of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 78041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -17*n - 1. Let d be q(-2). Suppose -v - v + 4*t = -242, 0 = -4*v + t + 484. Suppose 0 = 7*g - v - 33. What is the greatest common divisor of g and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is d0 - -8b7497?\nAnswer: 8b7587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 510 - (748 - 242) - (1 - (22 - 0))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -26135*c**3 + 9*c + 9. Is s(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the first derivative of 2\/9*y**3 + 0*y + 3 + 1\/3*y**2. Find l, given that q(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -5, 97, -3, -2 in descending order.\nAnswer: 97, 6, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = -0*g - 4*g. Let q = 895 + -871. Suppose -g*k + 115 = q. Solve -5*n = -k*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-3)\/9)\/(3\/(-45)). Suppose i*a - 29 = 2*m, m + 3 = 1. Suppose -4*y = -4*g + 228, -3*g - a*y + 139 = -0*y. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17 - 31 - -17 - (1 + 8)) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-31)\/(-3906)*-28*(-306)\/2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 - 33*v - 1610. Calculate the least common multiple of p(60) and 389.\nAnswer: 3890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7367120, 7367119, 7367118?\nAnswer: 7367117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -258*o + 847. Let q be z(3). Which is smaller: -103 or q?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y = -5*n - 61, 0*n + n + 1 = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*y + 259 = -219 - 32. What is the nearest to y in 0.1, -2\/5, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 828*y + 735*y = 243*y + 40920 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 5) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91)*-6*-1 - -5*sqrt(91)*4)\/(-5*((sqrt(70)\/sqrt(2))\/sqrt(5) - (sqrt(7) + sqrt(252) + sqrt(252)*2 + sqrt(7)))).\nAnswer: 26*sqrt(13)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2\/135 + -23\/270. Let h = 0.1 - 0. What is the third biggest value in d, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*h - 5*h + 2*s = s - 623, 5*s = -6*h + 293 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the third derivative of 0*a + 17\/210*a**7 + 0*a**6 + 4\/3*a**4 + 0*a**3 - 1\/60*a**5 + 34*a**2 + 0. What is the second derivative of l(h) wrt h?\nAnswer: 204*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 197 by -1215.\nAnswer: -197\/1215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2 - 17*a + 3908. Let v be c(108). What is the greatest common divisor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - 2112101?\nAnswer: -2112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-22)\/(-616))\/((((-189)\/(-24))\/(-21))\/(27\/6)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 0  (c) 1\/6  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2c6 (base 16) to base 6\nAnswer: -3142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 3 + 3 - 11*i - 5. What are the prime factors of h(-7)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62424 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1000346383 and 211003.\nAnswer: -1000135380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t = -41476 - 55300. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 8:01 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 + 0 = -5*w. Suppose -3*c + 205 - 58 = 0. Suppose c*x = 45*x + 28. Sort 5, w, x in descending order.\nAnswer: x, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/2270 and 45\/158446.\nAnswer: 792230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5035 + 546304?\nAnswer: 554342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 154 divide 15582004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that y**4 + 725*y**3 - 2194*y**2 - 7256*y + 17472 = 0.\nAnswer: -728, -3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 - 6. Suppose 4*i - 20 = -v*j, -5*j + 4 + 0 = -2*i. Calculate the remainder when 3 + (-2 - -1) + 3 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -71 + 67. Sort 2, 3, 0, q in decreasing order.\nAnswer: 3, 2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 274 + 0\/(-2) - (-38 + 39).\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the third derivative of 7*n**5\/15 - 3*n**4\/2 + 4*n**3\/3 + 18*n**2. Determine a so that f(a) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-6\/11))**(-43))**(-7\/2))**(-4\/7) assuming r is positive.\nAnswer: r**(516\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -5575 (base 9) to base 5\nAnswer: -112433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 74178 and 6305.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*r**2 - 7843*r - 48 - 277*r**5 + 7819*r - 40 wrt r?\nAnswer: -5540*r**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/14)\/((-12)\/(-384)*8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 12505?\nAnswer: 12505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 PM and 1:17 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*c**2*i*y**2 + 6*c**2*i*y - 29*c**2*y - 2*c**2 - c*i*y**3 + 2*i*y**2 wrt y?\nAnswer: -14*c**2*i - 6*c*i*y + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -511, 3253, 9519, 18287, 29557, 43329, 59603?\nAnswer: 78379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhc when three letters picked without replacement from {c: 8, h: 6, f: 1, j: 1, w: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 3077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2, 1952 in decreasing order.\nAnswer: 1952, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*n - 9 - 12 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (5 - (-1 + 1) - 9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.98 - 0.02. Let t = 118\/3 - 116\/3. Which is the biggest value?  (a) 11  (b) r  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 418, 834, 1250, 1666, 2082?\n\"Answer: 416*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - 1. Let c = m - -2.6. Let q = -24 - -95\/4. What is the second biggest value in -2, c, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 4*k - 16. Let f be q(5). Suppose -5*i + 2*p + 126 = 0, p + f*p = -15. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 140418307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 11, 4, -1.\nAnswer: -2, -1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.9 times 1.373?\nAnswer: -12.2197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-24)\/14 + 28\/(-98). Let u be (-10)\/c + 4*-1. Let p(r) = -2*r. Calculate p(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 14040, 14040, 14038, 14034, 14028?\n\"Answer: -x**2 + 3*x + 14038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(84) - (sqrt(84) - (sqrt(84) - -3*(sqrt(84)*-1 - sqrt(84) - sqrt(84))) - sqrt(84))) + sqrt(84))\/sqrt(7))\/(-4*-1*sqrt(54)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-50)\/15 - 2\/(-6). Let o be (m\/(-26))\/(2\/(-6052)). Let k = 349 + o. Sort 1\/3, -0.3, k in ascending order.\nAnswer: -0.3, k, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.027918 millilitres to litres.\nAnswer: 0.004027918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.014069 rounded to 4 decimal places?\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 161861 + 136994. Let h = -4118855 + w. Round h to the nearest one hundred thousand.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.03857  (b) -16  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -54436431 (base 7) to base 14\nAnswer: -896118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 452 + -446. Let q(t) = 2*t - 3. Let j be q(6). Suppose -2*l - 2*l - j = -3*d, l = 2*d - v. Solve 0 = -6*p + d*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 95*h - 183*h - 5274 = -4082 + 7080 for h.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -6*p**2. Let f(c) = -29*c + 2. What is f(i(b))?\nAnswer: 174*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -3\/7, -107, 12, -3\/8 in increasing order.\nAnswer: -107, -0.5, -3\/7, -3\/8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 5*b - 1 = -3, -3*b + 30 = 3*g. Let j be 14\/(-35)*-10 - 4. Suppose j = 8*c - 23 - 681. Calculate the greatest common factor of c and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oot when three letters picked without replacement from {t: 1, b: 2, o: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 1147, -1\/3, -848 in ascending order.\nAnswer: -848, -1\/3, 1147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 38. What is the remainder when t is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 8*a**2. Let c(s) = 7*s - 17*s + 8*s. Give r(c(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-216*j + 216*j - 85*j**2 + 179*j**2)*(2 + 1 - 1).\nAnswer: 188*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 - 331513544?\nAnswer: -331513542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.162189 + -74.475189. What is m rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*x + 7*x + 20 = 2*s, -x - 16 = -s for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 PM and 3:11 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - a2?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -244*z**2 + 2*z - 155 - 32*z**4 + z**3 - 29*z**4 + 155 + 275*z**2 to the form s + b*z + u*z**3 + h*z**4 + d*z**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 5, -0.0795, -2\/11?\nAnswer: -0.0795","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 10\/7, -5, -195.35, 2\/17?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 131870 and 9290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1767 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 6)*(1 - 1 + 2)*(-2583*i**2 + 1244*i**2 - 123*i**2).\nAnswer: 8772*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1314)\/365 - -4*1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1090286 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*g**2 - 26*g + 7*g**3 + 25*g - 2*g**2 in the form d*g**2 + o*g + y*g**3 + a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14319424 and 896?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5571288187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 5*x**2 + 6. Suppose 3*o + 26 = s + 10, 4*s = -2*o + 8. Let p(b) = b**3 - 3*b**2 - 3*b + 3. Let t be p(s). Is k(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1458)*2 - sqrt(18) - ((sqrt(882) + sqrt(882)*2 - sqrt(18)) + sqrt(18)))\/(sqrt(12)\/(sqrt(128) + 1*sqrt(128) + sqrt(128))).\nAnswer: -96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (-11 - (5 - (-5 + 12)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**2 - 24*s + 8. Calculate u(-17).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4279 and 7.\nAnswer: -2.9953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (((-212)\/6)\/(6\/(-9)))\/1. Is 2 a factor of y\/((2 - -10)\/(-4))*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.02659*187.\nAnswer: 4.97233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 3*b - 27, -2*f - 5*b = -f - 23. Let z = f - 3. Suppose 0 = -2*h - 8 - z. Sort -5, h, -2 in increasing order.\nAnswer: -5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92870.34 months in decades?\nAnswer: 773.9195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-504)\/(-1176))\/((-4)\/259)*(4\/(-12) - 1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -4*h**3 - 6*h**2 + 17. Let m(b) = -9*b**3 - 13*b**2 + 34. Determine 6*m(k) - 13*v(k).\nAnswer: -2*k**3 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*r + 2*r + r - 3 + 3 + r + (-2 + 2 - 2)*(3*r + 0*r - r) + r - 3*r + 0*r - 609*r + 143*r - 78*r as h + j*r and give j.\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1222344 (base 5) to base 12\nAnswer: 11702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4\/27023 - 11133584\/729621. Let b = 647\/54 + y. Calculate the common denominator of b and (-2)\/(-7) + (-811)\/(-126).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1743791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*a - 6 = -41*a. Let r be (-2 - -4)*a + (9 - 1). Let h be (-5 + 0)*(-44)\/55. What is the greatest common factor of r and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2298*j**3 + 18949*j wrt j?\nAnswer: -13788*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 25976766 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 + 2*i**2)*(-2*i**2 + 4*i**2 + 0*i**2) - 9*i**4 - 8*i**4 + i**4 as b*i + x*i**3 + c*i**2 + u*i**4 + o and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.38 take away -15243?\nAnswer: 15230.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29816411 is divided by 33.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = w - 4*a - 13, 240*w + 3*a = 244*w - 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 13 = -3*f - 1, 2*k = -f + 4. Suppose s - f = 5. Sort 2, -5, s.\nAnswer: -5, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1385, -2668, -3961, -5270, -6601, -7960, -9353?\n\"Answer: -p**3 + p**2 - 1279*p - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 5*f - 2. Suppose 0 = 19*z - 11*z - 40. Let h(a) = -9*a + 5. Determine z*q(w) + 2*h(w).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*p**2 + 4*p**2 + p**2 + (-4 + 4 - 3)*(228*p**2 + 500*p**2 + 5*p**2).\nAnswer: -2200*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w + 1. Let b(d) = 77*d + 133. Let x(u) = -4*u - 7. Let o(s) = 3*b(s) + 56*x(s). Let f be (2\/(-4))\/(1\/(-2)). Calculate f*o(k) - 6*y(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 0*c = 0, -4*c = -4*k + 8. Suppose -x - 44 = 2*w + 2*x, -76 = k*w - 5*x. Let h = w + 40. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -130.697 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17, -24, -19, 4, 51, 128, 241, 396?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + 4*j**2 - 2*j. Is s(3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-12)\/(-10))\/(1\/15). Suppose -2*v = -2*i, v + 1 + 1 = 3*i. Suppose -o + v = -z - 4, -5*z - 4 = 2*o. What is the greatest common factor of o and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -3*n + 0*n + 0*n. Let f(y) be the first derivative of y**4\/12 - 3*y**2\/2 + 2. Let t(m) be the second derivative of f(m). Calculate t(k(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.01, 1382, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -2*n**2 + 11*n + 56. What is y(16)?\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 8:36 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, e: 1, m: 1, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) 0.07  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 17, 43, -40, 5 in decreasing order.\nAnswer: 43, 17, 7, 5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(756)\/sqrt(108)*5)\/((-3*sqrt(576) - sqrt(576))*-1).\nAnswer: 5*sqrt(7)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16 and 120.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/9*-9 - (-432)\/(-48). Let l(g) = -7*g - 13. Determine l(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-10)\/3*(-18)\/(-15). Let u be (9 - 9)\/(-1 - 0). Let y(q) = u*q + 1 - 5*q + 3 + 3*q. Give y(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 7*q + 5. Let c(k) = 6*k + 4. Let y(n) = -6*c(n) + 5*d(n). Suppose -2*a = a + 15. Determine y(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5.091196152 + -2.\nAnswer: 3.091196152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 1 - 11)*(y**4 - y**4 + 3*y**5).\nAnswer: -48*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/57 - (-4383)\/(-57). Round b to the nearest integer.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 200 - 196. What is the second biggest value in n, 0.3, 2\/61, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 - (2 + -2))*-2. Suppose t*o - 2*o - 10 = 0. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 2112*i - 673726. Give p(319).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 100\/15*((-22)\/(-16))\/11\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.514074kg in tonnes?\nAnswer: 0.006514074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -32*r + 42*r - 70. Let q(i) = -i**3 + 12*i**2 + 29*i - 9. Let v be q(14). Solve 4*m - 2*m = f - r, -5 = -5*m - v*f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 31055 - 31053. Which is the third smallest value?  (a) 14  (b) k  (c) -6\/13  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2060 > -107973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*h**2 - 15790*h + 12466205.\nAnswer: 5*(h - 1579)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (176\/55)\/(56\/(-420))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1280, 15, -1, 3, 5, 16 in decreasing order.\nAnswer: 16, 15, 5, 3, -1, -1280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*j + 11*j + 6, -d + 2*d - 18 - 6 = 271*j - 267*j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + (-40 - ((-14 - 0) + 106))?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -39*y + 43*y + 24*y as l + f*y and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 624 = -1112. Calculate the highest common divisor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000036979 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 - 18*u**2 - u - 31. Calculate g(18).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u = 5*c - 24, 5*c + 14*u + 25 = 31 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8*1\/(-2))\/((-1078)\/77)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = -r + 3, 2*b - 2 = 5*r - 24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -3*n**2 + 11*n - 2. Determine a(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 + 3 - 6 - 38*u**2 - 2*u**4 + 17*u**2 - 2 as r*u**3 + m*u**4 + x + t*u + q*u**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74 is divided by 48?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 11064583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 - -4)\/(30\/(-45)). Let a(q) = -2*q**3 + 6*q**2 + 15. Let m(c) = -3*c**3 + 5*c**2 + 15. Let d(b) = n*m(b) + 2*a(b). Differentiate d(r) wrt r.\nAnswer: 15*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (-33)\/(-6))\/((-17)\/34)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3668*-43\nAnswer: -157724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 55860 to the nearest one thousand.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*c = -3945 + 126. Let l(v) = -18*v + 2. Let w be l(-2). What is the highest common factor of c and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 4*r**3 + 15*r**2 - 2990*r - 11926. Determine f(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 316202 greater than or equal to 316228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -21 + 10 + -10 + 35\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -4 + 8 - 5 - 3 - -9. Sort -4, -2, y, 3, 6 in decreasing order.\nAnswer: 6, y, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.13511 less than 6?\nAnswer: 6.13511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 9 = -4*x - 1, 4*t = 5*x - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -5*g + 6*g + 11*g. Let d(y) = 10*y - 15. Let a(u) = 7*u - 10. Let m(n) = -3*a(n) + 2*d(n). Calculate c(m(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17 + -67\/4. Let i = 114 + -112. Find q such that -1\/4*q**3 - d*q + 1\/2*q**i + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (143496\/54 - -19)\/((-2)\/(-6)).\nAnswer: 7, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 2*s + 382 = 0, 4*u - 2*s = 3*u + 78. Let b = u + -66. Calculate the highest common divisor of b and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -806473, -806471, -806467, -806461, -806453, -806443?\n\"Answer: w**2 - w - 806473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.0216 rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of j*l**3 + 2316*j - 85*l - 2 wrt l?\nAnswer: 3*j*l**2 - 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 368, 365, 352, 323, 272?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -115482*c - 42124*c - 5829*c.\nAnswer: -163435*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -857582442*d**4 - 1280*d**2 - 113*d - 597.\nAnswer: -20581978608*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**3 + 5*m**2 + 5. Let p be y(4). Let o(c) = -11*c + 2*c**3 - 5*c + p*c - 1. Let x(s) = 2*s**3 + 4*s - 1. Give 2*o(j) - 3*x(j).\nAnswer: -2*j**3 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 126957331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of 2*z**3\/15 + 4*z**2\/5 + 8*z\/5 - 5. Suppose d(a) = 0. What is a?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 2 + (3*(-1*sqrt(1331) + 0) - ((sqrt(1331) + 0 - sqrt(1331))*4 - ((sqrt(1331) - (1 + 1 + sqrt(1331))) + sqrt(1331)))))**2.\nAnswer: 88*sqrt(11) + 5328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2\/21, -10, -15, -0.01, -4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + -145?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -69*n + 424. Determine a(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 - 7*d**2 - 16*d + 9. Let i be l(-3). Suppose 0 = -i*a + 939 + 426. What is the remainder when a is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 - 901783879.\nAnswer: -901783894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (47\/(-8))\/((-112)\/180096*-201).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 62 = -2*l + 64, 0 = 2*l - z + 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 4*k + 46. Let j be b(-11). Suppose -y - 3*g + 1 = -10, 3*g - 19 = -j*y. Calculate the least common multiple of 22 and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -189*h**5 - 63908136*h**4 - 82167408*h**3 - 39562054*h**2 - 8453427*h - 676274 = 0.\nAnswer: -338137, -1\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -175*k. Let z(m) = -1715*m - 980. Let i(s) = -44*s - 25. Let t(g) = 196*i(g) - 5*z(g). Determine a(t(f)).\nAnswer: 8575*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -4*q - 3*q + 6*q + 1 + 2*q. Suppose 54 = -10457*d + 10448*d. Calculate x(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 203*o*y**2 + 3*o + 4*y - 1 wrt y?\nAnswer: 406*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -134 in -21, 0, 148?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 76352 - 76319. Suppose 4*y + 5*u = 13, 5*u + 15 = -0. What is the remainder when z is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**2 + 10*n - 11. Let u be d(10). Let o = u - -13. Let i = 1.1 - 0.7. What is the smallest value in o, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/((sqrt(192)\/sqrt(4) + sqrt(48))\/sqrt(12)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 43 + 5*q + q + q**2 - 13*q. What is the tens digit of u(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 15*s**2 - 827*s + 57. Let t be m(55). Which is smaller: -31 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -64\/135 and -2\/81.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4\/(-6))\/(115\/15). Let j(f) = -f - 4. Let u be j(-4). Which is the second biggest value?  (a) -3  (b) i  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -4\/21, -0.3, -4, -1, 2572?\nAnswer: 2572","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 472 + -69. List the prime factors of j.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the third derivative of 0*q + 2\/3*q**3 + 0 + 1\/24*q**4 + 1\/60*q**5 + 2*q**2. Let i be s(3). Solve -4*u = -0*u - i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -128259 - -128263. Let s = -3 + 1. Let d = s + 2.1. What is the closest to d in 1, 1\/2, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 7457628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13 + 14. Suppose 4 = z - y. Let r = 0 - -2. Solve -z*w + 9 = -r*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13331 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 - 2*v + 24. Calculate z(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -2*w**4\/5 - 1394*w**3\/5 - 255702*w**2\/5 - 4432086*w\/5 - 11032416\/5 = 0.\nAnswer: -339, -16, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + 18 + (-10 - 23).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3496 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 1 + (1*(sqrt(1200) + sqrt(1200) + 3) - (sqrt(1200) - (sqrt(1200) - (sqrt(1200) + 0)))*-4))**2.\nAnswer: 960*sqrt(3) + 43216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 8*c + 150. Let s(z) = -105*z - 1947. Determine 27*i(g) + 2*s(g).\nAnswer: 6*g + 156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 102 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 6.63 * 0.107\nAnswer: 0.70941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3368421 to the power of 1\/2, to the nearest integer?\nAnswer: 1835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 PM and 4:51 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -949 - -1351. Suppose -4*r + 422 = -2*m, 5*r + 2*m - p = r. List the prime factors of r.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 - 11*v**2 + 24*v - 18. Give r(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 133115.\nAnswer: 5, 79, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3082*z + 40810 = -50223 - 59985 for z.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5587588 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4.52 + -4.523. Let q = -2.003 - s. What is the closest to 0.1 in -1\/6, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 3*v**3 + v**2 + 2*v + 3. What is j(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1\/2)*o*o**(1\/4))\/((o\/(o**4\/o))\/(o**(3\/2)*o)))**(-3\/22) assuming o is positive.\nAnswer: o**(-63\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of f**4\/4 - f**3\/3 + 28*f + 2. Suppose 3 = -5*d - 3*o, d + o + 6 = 5. What are the prime factors of t(d)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {w: 3, e: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3846699*k**2 + 13861677 wrt k?\nAnswer: -7693398*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 k when three letters picked without replacement from {b: 2, g: 3, i: 5, s: 8, k: 2}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 33 = 7*h. Let x be (6 + -5)\/(h\/(-27)). Let p(m) = -6*m + 54. Let q be p(x). Solve 0 = -2*f - q*f - r + 5, -3*f = 4*r - 15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26646, -105673, -237132, -421023, -657346, -946101?\nAnswer: -1287288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 3193.\nAnswer: 4\/3193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 50*k = -312. Let j be ((-64)\/k)\/(-2)*(27 - 24). Solve -j*f = -14*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 AM and 11:41 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 77931749 and 665?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 96 divide 55539936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of c**3\/3 + 2*c**2 - 4*c - 56. What is the derivative of s(u) wrt u?\nAnswer: 2*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -40 in -0.2, -0.3, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13.5 + 13.8. Which is smaller: -7 or s?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -9*t + 170. Let a be v(18). Suppose 10737 = a*g - 19799. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 470 + 484 - 1439 + v - 5*v + 486.\nAnswer: -4*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + -5 + 14 + -16 - -17.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -3231\nAnswer: -12924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 253973.76 months?\nAnswer: 2116.448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 415084 minus -8498?\nAnswer: 423582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -161\/640146 and 12\/2639.\nAnswer: 4481022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/8)\/((-6)\/(-312)). Suppose -d*o = -8*o - 25. Suppose -t + 58 = 2*y - 6*t, -4*t = -o*y + 145. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -8*l**2 + 9*l - 5. Let j = 26 + -23. What is the common denominator of (15\/(-12))\/(9\/(-30)) and o(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/15 - -2 - 20*92\/13800.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1)\/m*m)**(-24)*(m*m**1*m)**(-48))**(1\/27) assuming m is positive.\nAnswer: m**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 66284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {f: 6, l: 7}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*u - 2856 = 34707. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 535004.7 microseconds?\nAnswer: 0.008916745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 (base 12) in base 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15\/11 + -1007\/44. Find the common denominator of -15*42*(-1)\/220 and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8411 and -0.14.\nAnswer: 1177.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*z - 86*z - 15 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuuuuuuuu. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 12, 91, 226, 423, 688, 1027, 1446, 1951?\n\"Answer: n**3 + 22*n**2 + 6*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -1143*q**2 + 5 + 1137*q**2 + q - 7. Let t(b) = 6*b**2 + 1. Determine -2*k(m) - 3*t(m).\nAnswer: -6*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 290 a factor of 7521440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(-2)\/(-6)*648\/108?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 30878 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -3 + 9, -5*o = 4*c + 2. Let w(k) = -2*k. Let s(j) be the third derivative of -j**4\/24 - 2*j**2. What is o*w(x) - 2*s(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14976, -1, 19, 0 in decreasing order.\nAnswer: 19, 0, -1, -14976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 9408 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.3 - -0.2. Let o = 5736 - 28679\/5. Sort 0.3, o, t in increasing order.\nAnswer: o, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 30 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -4*v + 56. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 1 z when three letters picked without replacement from {z: 2, s: 4}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 62566 and 545.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h + 1. Let k(t) be the second derivative of -t**5\/20 + t**4\/2 - t**3\/6 + 2*t**2 + 4*t. Let a = 4 + 2. Let d be k(a). What is f(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8129.\nAnswer: 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1045348*d**2 + 554885?\nAnswer: -2090696*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 388.7969 + -389. Let s = 0.0013 + x. What is s rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 p when three letters picked without replacement from {d: 11, x: 4, p: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 20*d - 2. Let q be o(2). Suppose -3*a + 44 = q. Suppose -2*i + 3*m + 78 = -149, a*m = -4*i + 446. What is the highest common factor of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 4  (b) -2\/17  (c) -2.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(0 + 3*(2 + sqrt(405) + sqrt(405) + 0) + (-1 + sqrt(405) + 3 - sqrt(405))*-4)**2 + 4.\nAnswer: -648*sqrt(5) + 43756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + (3 + (9 - 21) - -2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2664577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (3504\/13432)\/((-16)\/(-2576))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -998*a + 11*a**3 - 10*a**3 + 998*a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.219930859 rounded to two decimal places?\nAnswer: -1.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 12128918323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -177.954 to the nearest integer.\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (7\/21)\/(4\/(-18)). Let i = 356\/45 + -39\/5. Sort p, 3, 0.5, i in ascending order.\nAnswer: p, i, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*i + 5*i. Let g(n) = -3 + 3 - 12*n + i. Let j(w) be the second derivative of w**3\/3 - 4*w. Determine j(g(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3c0eb8 - 1?\nAnswer: -3c0eb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*v - 2*v + 5*v + (-v + 1 - 1)*(1 + 1 + 0)*(5 + 1 - 4) to n*v + o and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*y**3 - 2*y**2 + 15*y**3 - 27*y**3 as q*y + u*y**3 + s*y**2 + p and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 9062, 9066, 9086, 9128, 9198?\n\"Answer: q**3 + 2*q**2 - 9*q + 9068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2 + 2*h - 2. What are the prime factors of u(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 221751704 + 1?\nAnswer: 221751705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, -46, -4 in decreasing order.\nAnswer: 1, 0, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-z + 5*z - z)*(1 + 2 - 5) - 3*z - 2*z + 3*z)*(7*z**2 + 5*z**2 - 3*z**2).\nAnswer: -72*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -446\/5 in -1\/2, 5, -2\/15, 2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1914, -3832, -5752, -7674?\nAnswer: -9598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -9, -2*d + 68 = 5*w + 2*d. Suppose -w*k + 18 = -13*k. What are the prime factors of 82*(-9)\/k*-1?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddkkdkkkkdk. Give prob of picking 3 k.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 5, -25, -3165 in ascending order.\nAnswer: -3165, -25, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.11 + 0.04. Suppose -2*s = -81*m + 964, -2*m + 10 = -24 + 10. Which is the closest to 1?  (a) s  (b) 0.5  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z**5\/2 + 11*z**4\/2 - 1149*z**3\/2 - 29079*z**2\/2 - 122472*z - 349920 = 0.\nAnswer: -24, -9, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2 - 9223*w - 138120.\nAnswer: -(w + 15)*(w + 9208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhvkhhgxhhhphpvvhhv. Give prob of sequence vhkp.\nAnswer: 11\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -9*h**3 + 15*h**2. Let d(r) = r**3 - 9*r**2 + 2*r - 12. Let q be d(9). Let g(l) = -7*l**2 + 4*l**3 - 366 + 366. What is q*o(b) + 13*g(b)?\nAnswer: -2*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5\/7, 0.4, -0.1, 9\/13, 1?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 2 y when three letters picked without replacement from mxxyy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kmm. Give prob of sequence kmm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1.4  (b) 5  (c) -5  (d) 196\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84 - 84 = -11*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 3625 divide 1329772882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 12 + -5 + (-4)\/5.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the third derivative of v**5\/60 + v**4\/6 + v**3\/3 + 2*v**2. Let r be c(-2). Let h = -6 + 5. Is r > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, -7, 39 in decreasing order.\nAnswer: 39, 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -2*i**2 - 26*i + 33. Let n be o(-14). Solve -c = -n*z - 5, 2*z + z - c = -5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -u + 5*u + 1, i = -2*u - 3. Suppose -k + i = 5*p + 1, -4*k - 3*p = -16. Suppose -d = -k*d. Sort -1, d, -8 in decreasing order.\nAnswer: d, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3.3 and -6814?\nAnswer: 22486.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18, -39, -86, -171, -306, -503, -774?\nAnswer: -1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -850.83 and -30?\nAnswer: 820.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4781 + 3769 = 190*y. Let o = 20 - 10. What is the lowest common multiple of o and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + n + 85 = 2*h, 5 = n. Suppose 0 = -4*d + 3*o + h, -5*d - 2*o + 49 = -52. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*l**3 + 1414*l + 1411*l - 2825*l.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 - 3*s**3 - 4*s**2 + 5*s**3 + 2*s - 2*s**3 + 3. Suppose -n = 2*o + 2*o - 15, 0 = -2*n + 2*o. Determine g(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * 0.13.\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-594)\/792)\/((-4)\/(16\/9))*1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (94\/6)\/(35 + (-3328)\/96).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(2916) - 6*sqrt(144))\/((sqrt(540)\/sqrt(5) - -6*(sqrt(12) - sqrt(36)\/sqrt(3)))*-4).\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 5*m - 327470 = 0, -4*u + 7*u + 5*m = 196482. List the prime factors of u.\nAnswer: 2, 11, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 349244941?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/8*(-10 - -18). Suppose 2 = -d*t, 5*k - 5*t - 60160 = -0*t. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 + 5 + 7 - 0. Let a be (o\/24)\/((-6)\/(-9)). Which is smaller: a or 14\/29?\nAnswer: 14\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (8*(3 - 6))\/((-9)\/114). Let s(q) = q**2 - 2*q - 3. Let i be s(4). Suppose -i*y - m = -9*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-27918)\/495)\/(-47))\/((-4)\/240)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -53*g**3 + 29*g**3 - 6 + 3*g**2 - 15 + 22*g**3 in the form j*g**3 + z*g + q*g**2 + u and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7829677*g**2 - 4507*g - 447?\nAnswer: 15659354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 132.084 - 132. Let t = 1 + -0.998. Let b = s - t. Round b to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 30429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from egieiepeipggggeeie. What is prob of picking 3 g?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 0.5, 7\/22, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 235286821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = 78*w - 83*w + 12, 24 = 8*j - 5*w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -10*(-2)\/(-6)*12\/(-8). What are the prime factors of p*19 - (1 + 2 + -6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 372379?\nAnswer: 7, 53197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.358 - 4.\nAnswer: -8.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100*s + 101*s - 3*o = 37, 0 = 4*o - 12. Suppose -3*m + 75 = 5*d, 5*m - 3*d - 109 = -6*d. Calculate the least common multiple of m and s.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nxnx when four letters picked without replacement from xxsnxxsxxxnxmm?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from jddssjkdjjkkds.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 831 + 1081. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/3, -49, 1\/4, -0.2, -8\/93?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 4768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 6503 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 AM and 7:53 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 140 divide 891667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 3 + 1 + -15 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 177 - 883\/5. Is c greater than or equal to -203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 3*h - 8 = 1, 0 = 4*c + 4*h - 12. Solve c*j = -5*j - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) 5\/11  (c) 2\/5  (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 6743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 + -22. Let c(o) = -3*o**3 - 5*o**2 - 5*o. Let a(v) = 4*v**3 + 6*v**2 + 6*v. Give n*c(x) - 5*a(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 1431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 46*l**3 - 4*l**2 - 6*l + 6. Let u(f) = 137*f**3 - 11*f**2 - 17*f + 17. Calculate -17*j(h) + 6*u(h).\nAnswer: 40*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -791*h + 61795 + 46767 - 195 = 0 for h.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 813*y = -3*u + 830*y + 106, 0 = -3*u - y + 16 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.284 * -116378.\nAnswer: 33051.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, l: 3, q: 2, x: 6, r: 5}. Give prob of picking 1 l and 1 x.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 191\/410 - 15\/41. What is the fourth smallest value in -20, -6\/11, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 1) + (-91803)\/(-781) + -122.\nAnswer: -38\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 - 7*g**2 - 8*g - 5. Let y be u(9). Suppose -m + 2*m = y. Suppose -3*z + 250 = m. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the second derivative of -7*o**5\/20 - o**2\/2 + 8*o. Differentiate t(f) with respect to f.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -443 or -3106\/7?\nAnswer: -3106\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 364 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/5*16705\/771*2\/(-34) - 3?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2496 is divided by 207?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -434 + 371.6. Let h = g - -61.4. Sort -4, h, 3\/4, -3.\nAnswer: -4, -3, h, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*2\/36 + 7308\/(-2268).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = 3*n, -1707*v + 1702*v = 5*n - 60 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1032372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*v + 40*v - 1496 = 0. What is the highest common factor of 34 and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((2784\/73080)\/(1\/10))\/((-1)\/3)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/5*(-10 + 5). Suppose r = n*o - 20, -2*o + 3*o - 5*r = 30. Find the third derivative of -2*q**5 + 2*q**2 + 2*q**5 - 4*q**2 - 6*q**o wrt q.\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/6*2\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that t**2\/4 - 49477*t\/4 + 12369 = 0.\nAnswer: 1, 49476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 36643 or 36679?\nAnswer: 36679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 - 6*q + 11. Suppose -5*g + 195 = -0*g. Let t = -842 + 848. Suppose t*m = -g - 9. What is k(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 51*k + 94 = 0. Solve 0*a = -t - 5*a - 26, 2*t - 8 = k*a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 5\/26, 2\/15, -9, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -560110 rounded to the nearest 10000?\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 60 and 141?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*c**4 + 12606*c**3 + 13255203*c**2 + 26472600*c + 13230000 = 0. Calculate c.\nAnswer: -2100, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 15 = 5*m - i, 0 = m + 4*i - 14. Let c be ((-4)\/(-6))\/(m\/(-99)). Solve -f - 3 = -4*v - 8, 0 = 3*f + v + c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/78 and -59\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 121 + -23?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -111200 + 122?\nAnswer: -111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -159*q + 2029 = -674 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 160*z**5 - 2 - 75*z**5 - z**5 + z**5 - 2*z**5 + (1 + 0 - 3)*(-z**5 + 4*z - 4*z) + 0*z**5 - z**5 + 3*z**5 + 2*z**5 + z - z.\nAnswer: 89*z**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -70. Let q = w - 47. What is the smallest common multiple of q and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -360859*f**2*h**3 - 3*f**2*h**2 - 3*f**2*h - 2*f**2 + 1883*f*h - 3*h**2 wrt h?\nAnswer: -2165154*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.3 + 0.7. Let y be 13\/(-3) + 2\/6. Let q be (-4)\/(-3) + y\/(-6). Which is the second smallest value?  (a) 0.5  (b) q  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z - 1 + 7 = 2*k, 5*k + 30 = 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x - 2 = -32. Suppose 4*f - 4*w + 7*w - 5 = 0, -w = x. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s + 17. Let t be c(-16). What is the remainder when t + 55 + 1 + -17 + 20 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 3*p**2 + 7*p - 2. Let t be m(-3). Suppose -2*q + x = -3*q + 231, t*q - 921 = -x. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -i - i + 4*i + (0*i - 2*i + 0*i)*(-545 - 256 - 59) in the form s*i + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -258 = -6*o + 5*p + 54, o - 33 = 4*p. Calculate the remainder when 1481 is divided by o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 5*w + 19 - 4, -6 = 2*w + 3*p. Let s(b) = 8*b + 15. Let r(t) = -t - 5. Let x(g) = w*r(g) - s(g). Let d(v) = v + 10. Give x(d(f)).\nAnswer: -5*f - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6459 or -6444?\nAnswer: -6459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -79*q**2 - 9*q**2 - 33*q**2.\nAnswer: -121*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 503550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 627 and 10428682.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 + 5*d**2 - 8*d - 2. Calculate the least common multiple of 14 and h(-6).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 111 - -0.002.\nAnswer: 111.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*i + 6 = -14*i. Which is greater: i or -6\/115?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, -16, 2\/7, -0.4 in descending order.\nAnswer: 2\/7, 2\/9, -0.4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hvx when three letters picked without replacement from {x: 1, h: 2, v: 2, l: 1, o: 2, z: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from rbhbiihziihr.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 24141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 5*f - f + 2*s, 0 = 4*f + 4*s - 24. Let h(k) = 4 + f*k - 5 + 2*k. Let p be h(1). Calculate the greatest common factor of 18 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*j - 4*l, -4*l - 5 = -j + l. Suppose r = a - 1, -4*r + j*a + 8 = -a. Differentiate -6 + 3 + r - 5*s**4 - 1 wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 9 = 5*o + 29, 2*o = 3*j - 53. Calculate the remainder when 0 - -61*(0 + 1) is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.06 in 0, 0.0131, 0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 - 5. Let l = q + 4. Differentiate 2*p**2 - 3*p**2 - l - p**2 wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -105659, -105794, -106027, -106364, -106811, -107374?\n\"Answer: -d**3 - 43*d**2 + d - 105616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, 14, 69, 275.\nAnswer: -4, 2, 14, 69, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ndop when four letters picked without replacement from {p: 2, d: 4, g: 7, n: 1, o: 1}?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times -1.649?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19.2974*-247.\nAnswer: -4766.4578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-29206)\/221 + 2\/13. Let r = l + 231. What is the remainder when r is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4575 and 375.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -22 + 16. Let f be (v\/(-42))\/(12\/(-14)). Which is the closest to -1?  (a) -0.3  (b) 0.1  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 34 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 151*a - 23 = 105*a + 140 - 2187 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l**3 - 3*l**3 + 2*l**3)*(-56 + 912*l + 56 + 28643*l**2 - 912*l).\nAnswer: 28643*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 2:13 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 517381070?\nAnswer: 2, 5, 761, 67987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 3)*(-p + 0*p + 0*p)*(0 + 0 - 4*p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1002200010011 (base 3) to base 14.\nAnswer: -112b94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lijiehxx. Give prob of picking 3 h and 1 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -3, -0.3, -5, -5741?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.5 - -4.3. Round k to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 - 5. Let l = 7 - 3. Let f = -1 + l. Calculate the lowest common multiple of f and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 0*x + 3*p + 13 = 0, 5*x + 4*p + 11 = 0. What is the tens digit of (5\/1)\/(x\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 180*s. Let a(o) = -o**2 - 2*o - 2. Let q(d) = -5*d**2 - 9*d - 9. Let f(g) = -9*a(g) + 2*q(g). Give f(w(b)).\nAnswer: -32400*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 421275263.\nAnswer: 367, 1147889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/4 - 4\/(64\/(-52))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 + 3. Let c(y) = -2*y**3 - 3*y**2 + 4*y + 3. Let x be c(a). What is the greatest common factor of 18 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5.12, 3, -1\/4, -2\/5, -9\/4 in increasing order.\nAnswer: -5.12, -9\/4, -2\/5, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -876 - -877. What is the closest to -0.05 in f, 28, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - 4 - (-10 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f**24*f**(-13) assuming f is positive.\nAnswer: f**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 79 + -66 + -46 + -7 + -3.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rd when two letters picked without replacement from {c: 1, r: 7, d: 1, q: 4}?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, -44, -173, -426, -845?\nAnswer: -1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2284403 is divided by 6945?\nAnswer: 6443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(1*sqrt(72))**2 - (sqrt(72) + (sqrt(72) - (sqrt(72) - 6*-4*sqrt(72)))**2).\nAnswer: -41184 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 371 a factor of 223647704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15.334 * 1.3.\nAnswer: 19.9342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 570276 and 2108.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 - 10\/6)*(-9)\/(-6). What is the remainder when ((-320)\/(-24))\/(k\/(-6)) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 + 1223?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, k: 1, n: 1, l: 1, s: 1, o: 1}. Give prob of sequence xn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of 0*c + 5\/336*c**8 - 14*c**2 + 0*c**5 + 0*c**4 + 0*c**7 + 0 + 0*c**3 - 1\/24*c**6. Find x such that a(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/11, -1\/3, -5709, -5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 6 = -3*d + 18, 0 = 3*v - 3*d - 24. Suppose 0 = 3*n - 2*w + 4, -5*w + v + 17 = -n. What is the units digit of (0 + 8)*n\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7.4 + 1.4. Let h = 7.64 + -1.34. Let n = a + h. Sort n, 1\/3, -2\/5 in increasing order.\nAnswer: -2\/5, n, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 28 and 51982.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2276078 times -0.1?\nAnswer: -227607.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes after 6:41 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*t + 3*v - 5 = 25*t, 5*t - 5*v + 5 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/6 and 56\/81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**2 + 232*m + 233.\nAnswer: -(m - 233)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 3 + 1)*(0*t**4 - t**4 - t**4) as z*t + v + m*t**2 + g*t**3 + f*t**4 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5286975269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 670931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-814)\/66*(87\/145)\/((-2)\/10). Let y be 1\/(-3) - (-3053)\/(-3). Let b = -611 - y. Calculate the highest common factor of b and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.14 or 17\/7251?\nAnswer: 17\/7251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10142690953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1598, 117, -1364, -2845?\nAnswer: -4326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6856*f - 6873*f + 136. What is the least common multiple of f and 6624?\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 52 = -4*y, -4*y - 45*z + 46*z = 12. Put 10, y, -6, 0, -3 in decreasing order.\nAnswer: 10, 0, -3, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*o*y**4 - 1165*o*y - 72*y**5 - 2*y wrt y.\nAnswer: 36*o*y**2 - 1440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0, 1, 3\/7, 1677?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -184*w + 5 = -183*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 48434218279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -14*x. Let q be z(-1). Let f = 5 + q. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -454 (base 7) in base 4?\nAnswer: -3223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 60 + 15. Suppose -m - b = -6*m. Suppose -3*h - m = -4*h. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -7*a - 53. Suppose -44 = 5*c + x, -2*c - 7*x + 2*x = 13. Let q be b(c). Let p = 1.4 - 1. What is the second smallest value in -3\/4, q, -2\/15, p?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/24455596 and -44\/101425?\nAnswer: 611389900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-104)*4*(-4)\/1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 2*f + 5*k = -44, -3*k = 2*f - 101. Calculate the greatest common divisor of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-7 - -25 - 27) + (-66)\/(-8). Which is the fifth biggest value?  (a) -2  (b) t  (c) 0.4  (d) 1\/3  (e) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -0.03, 0.5, -1, 35?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1866\/4665*5\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -8*d**2 - 2*d - 6. Let a(q) = 7*q**2 + 3*q + 5. Let p = 2460 - 2465. Calculate p*f(y) - 6*a(y).\nAnswer: -2*y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 374780 (base 10) to base 14.\nAnswer: 9a820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 161\/(-21) + 5 - 48402882\/(-54) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -4*t - 2. Let o be d(2). Let j be 176\/o - (-30)\/50. Let q = j + 24. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 326 divided by 199\nAnswer: 326\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1707891.\nAnswer: 3, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/(-30)*1*10\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + -1 + (-10 - 6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*v**2 + 8*v**2 + 2*v**3 - 15*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4\/(-14))\/(3\/(-21)). Suppose 0 = 5*p - 2*x + 6, x - 1 = p + z. Solve 3*m = -t + 13, 4*m - t - 4*t - 11 = p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 209 = -2*r + 227. Suppose 0 = w + 3, -2*l + 3*l = 3*w + r. Sort -1, -3, 13, l.\nAnswer: -3, -1, l, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -7*b - 37. Let j be c(-7). Are j and 12 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 31\/(-4*2\/(-8)). Let s(f) = -m + 31 + 2*f. Let x(b) = -b. Calculate s(x(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -11 + 26. Let z = -1 + 2. What are the prime factors of ((-24)\/a)\/(z\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z + 11. Let x = -14 - -6. Let d be n(x). Suppose -2*b = -3*b - 3*m + 4, 61 = 4*b + d*m. Solve 2*o - 3*a - 5 = -0, -5*o = -a - b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-32)\/(-6) - 4)*(-216)\/(-48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 761\/442 + -22\/13. Are d and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 5*n**3 + 2*n + 2. Let l(b) = b**2 - b - 1. Let g(k) = k**3 + 4*k**2 - 31*k + 7. Let v be g(-8). Determine v*a(w) - 2*l(w).\nAnswer: -5*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**11*h**(-28) assuming h is positive.\nAnswer: h**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**2 + 19221*y - 384810. Determine v(20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15*14\/840)\/((-1)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -81, -136, -181, -210, -217, -196?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 2\/13*h**2 + 16\/13*h = 0 for h.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 67?\nAnswer: 33.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 3*b**2 + 2*b**2 - 3*b**2. Let f(c) be the third derivative of 7*c**5\/30 - c**2 + 31. Give q(f(t)).\nAnswer: 392*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(3\/7))**(-17\/3)*(z**2\/z*z)**(2\/33) assuming z is positive.\nAnswer: z**(-533\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the first derivative of z**2\/2 + 2*z - 5. Let x = 3 + -5. Give t(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -3*v + 44. Let k be h(13). Solve -9*u - 33 = -2*q - 4*u, -k*q - 2*u = -10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -715 greater than -7067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the second derivative of -p**4\/12 + 3*p. Let j(d) = -4*d**2 + 2*d. Let w(v) = -v. Let i(x) = -j(x) - 2*w(x). Give k(i(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-80)\/30)\/((-8)\/15). Let h(v) be the first derivative of 4*v**3 + 0*v**4 + 0*v + 5 + 13\/5*v**w + 0*v**2. What is the third derivative of h(b) wrt b?\nAnswer: 312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-9) + (-182)\/(-21))*(-104)\/(-1716).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (-11 + 5 + 8 - (4 + 0))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 38*h**3 - 38*h**3 - 9*h**4 + (-87*h + 0*h - 42*h)*(-3*h**2 + 3*h**2 - 4*h**3) as b*h**4 + v + s*h**3 + l*h + w*h**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r - 11. Let j(z) = -z + 3. Let g be j(3). Suppose g = 3*x - 28 + 1. Let y be f(x). Is -2 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 12296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(17) + 1)*-6 - 6*(sqrt(68)\/sqrt(4))**2*6.\nAnswer: -600 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -66 + 31 - -50 - (-1 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1485 + 1456. What is the third biggest value in u, -4\/7, -5, 1, 2\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000085 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (((-8)\/(-6))\/4)\/(2\/2454). Let g = 1796 - 1388. Is g at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*n + 2*n + 25, -5*n = -2*s - 25. Let i = -25790 + 25791. Which is the closest to 0.4?  (a) i  (b) s  (c) 4  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 4*k - 93 = 0, -84 = 8*a + 9*k + 156 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o + 4. Let w be d(0). Suppose q + 1 + 4 = 0. Let r(p) = -p - 3. Let m be r(q). Solve -4*t = -v - 14, -5*v = w*t - 7*t + m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 115231.466 + -112670.5. Let c = v + -2564. Let w = -3 - c. What is w rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (-1 - 0) - (934 - 934).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*j - 32*j - 37*j - 9*j + 110*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*y**3 - 80*y**3 - 107*y**3 + 52*y**3.\nAnswer: -161*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 + 21*u**2 - 62*u + 36. Let s be n(18). Which is smaller: 42 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55600026 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1078)\/462*(-9)\/(-7). Sort a, 4, 40, -1.\nAnswer: a, -1, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3029 = 198*u + 514 - 3623 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3013 + -3015. What is the closest to i in -0.01, 4, -154?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 146 - l - 147.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12306727 - 85661796\/7. Let s = -69509 + g. Let l = 181 + s. What is the smallest value in l, 8, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 327838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3014416 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1737 and 8.\nAnswer: 13896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 30.572 + -293.572. Which is the closest to 4?  (a) 0.1  (b) -2\/3  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(350)*-1)\/sqrt(10) + sqrt(35))\/((sqrt(15)*-1)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2589112.\nAnswer: 2, 37, 8747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-38)\/95 - 8226\/(-15). Suppose -566*d + 568*d - i = 0. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0005367 to five dps.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of -312179.264 and 63.\nAnswer: -312116.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*d**2*o - 8*d**2 - 16*d*o + 11*o + 3376 wrt d?\nAnswer: 4*d*o - 16*d - 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 1991*l. Let r(f) = 67*f**2. Give v(r(m)).\nAnswer: 133397*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 23.4 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 124980 and 156225.\nAnswer: 624900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2501581 by 751.\nAnswer: -3331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/20*2*-10. Suppose 0 = -9*z + p*z + 5. Let o be -1 + -1 + z - -1. Solve -5*l - 13 = -c, 5*l - 5*c + 6 - 1 = o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -3*m**2 - 19*m + 2. Let t be s(-6). Suppose 4*n = -t, 5*l + 0*l = n + 1657. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81037 + 16*j - 29*j - 38*j - 81033 + 162070.\nAnswer: -51*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(99)*-1 - sqrt(99))\/(sqrt(144)*-2 - sqrt(9)))**2.\nAnswer: 176\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4274657087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 607 is divided by 290.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -5*j. Let l(m) = m + 1. Let b(f) = -f**2 - 5*f - 5. Let t(y) = 2*b(y) + 10*l(y). What is t(d(h))?\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -375485*d**5 - 4*d**4 - 1245222*d?\nAnswer: -7509700*d**3 - 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1356 - ((-69)\/(-36) + 7\/84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2075 and 9025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-28)\/12)\/(4\/(-113172)*1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*-1736.\nAnswer: 3472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Do -25779 and -25777 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -44125\/176 + 4023\/16. Factor 6\/11*c**2 - 2\/11*c**3 + n*c + 0.\nAnswer: -2*c*(c - 4)*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**2 + 0*x**2 + 2*x**4)*((-10 - 11 + 6)*(-1 - 1 + 0) + (-1 + 4 + 0)*(3 - 5 - 4)).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-32)\/20)\/((-54)\/135)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-13\/4)\/h*h)\/h**(2\/35)*h**(-15)*h*h**(-23))**(-3\/13) assuming h is positive.\nAnswer: h**(16929\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 551251.7l to millilitres.\nAnswer: 551251700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1082, -1085, -1090, -1097, -1106?\nAnswer: -1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9943655, -9943653, -9943651, -9943649, -9943647?\nAnswer: -9943645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, k: 4, y: 1}. What is prob of picking 2 k?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-72)\/384*84)\/(91\/312).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 1259 = 216. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.97 + -4. Let o = -5.03 - z. Let y = -0.03 + 3.03. Which is the biggest value?  (a) 0.5  (b) o  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkukpepxekpk. What is prob of sequence kxuk?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*y**3 + y**3 + 11697 - 96865 + 2*y.\nAnswer: y**3 + 2*y - 85168","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zuzuzuvzruzuzbrubz. What is prob of sequence ubuz?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 2*p**3 - 9*p**2 + 24*p - 10. Let j(z) = z**3 - 10*z**2 + 25*z - 11. Let u(s) = 3*j(s) - 2*v(s). Let m be u(-14). Solve -m + 4 = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1861 + 1862. Let h(q) = -q**2 + 10*q + 9. Let m be h(11). Let z be 0\/(1 + m + 3). What is the nearest to v in z, -2, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10984997 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 5.5723, -17?\nAnswer: 5.5723","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 1, -12 in descending order.\nAnswer: 1, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u + 21. Let x(l) = -34*l**3 + 2*l + 1. What is the remainder when x(-1) is divided by a(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + ((1*sqrt(76)*5 + sqrt(76))\/sqrt(4)*2 + (sqrt(19) + 1)*5 + sqrt(133)\/sqrt(63))*3)**2.\nAnswer: 1456*sqrt(19) + 51572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3178?\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 673 = -185*w + 2756 + 1247 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 2*h - 5 = 5, y + 1 = -h. Let q = 1.92 - 1.9. What is the closest to q in 5, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = -4*h + 18*z - 14*z, -h = 2*z - 7. Solve h*y - 7 = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0107 - 68051072\nAnswer: -68051071.9893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -179 - -194. Solve -5*a - 5*i = k, a - 3*i = -2*a - 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 746 * -270.\nAnswer: -201420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in seventeen halves of a day?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -85, -73, -61, -49, -37?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/14*((-26)\/6 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 AM and 11:21 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/110365200 and -139\/401328.\nAnswer: 110365200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(5\/4)\/x*x**(17\/4) assuming x is positive.\nAnswer: x**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (2392\/(-91494))\/((-16)\/2520*5)?\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 0  (b) -442  (c) 0.1  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5096834 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1a97 - -17?\nAnswer: -1a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 - -422?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + b + 22, -7*p + 3*b = -8*p + 42. Factor 10*f**3 - p*f**3 - 2*f**2 - 5*f**4 + 13*f**3 + 3*f**4.\nAnswer: -2*f**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5576 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -61 - -86. Let k = -171 + 178. What is the remainder when n is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 12512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 9 + -763 + (1 - 0). Let i = -16 - l. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**3 + 3*q**2 - 6*q + 3. Let c be s(4). Let o = c - 59. Let n be (-5)\/3 - 980\/(-12). What is the greatest common divisor of n and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, -33, -76, -135, -216?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 31\/(-31) + (-1 - -11). Let m be ((-6)\/t)\/(16\/(-48)). Solve -3*y + g + 3 = 4*g, -m*y + 2 = -4*g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(3\/(-3))*25\/(-400)*-72.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -41 + -208?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 131 + -8. Let o = u - 30. Suppose -4*b + 5*b = o. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5100.832 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*v - 2*v**2 + 3*v)*(0 - 1 + 0) + v**2 + 2*v**2 - 4*v**2)*(2*v**3 + 10 - 10)*(-25 + 20 + 45).\nAnswer: 80*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 537 divide 8766629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 26801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:36 PM and 9:13 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y - 185 = 5*g - 95, 36 = 5*g + y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -55*d + 60*d - 11, -5*d + 3*z + 9 = 0. Solve 13*h + 10 = 9*h - 5*k, 0 = -h - k - d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/(-15) + (-12)\/(-5). Suppose -4*v = a*u - 412, -5*u - 3*v + 1159 = 115. Let g = 1892\/9 - u. Is -4 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -8, 0.1, -27, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 5. Let j = z - -2. Let l(v) = v + 3. Let d(c) = 1. Let u(k) = 5*d(k) - l(k). Determine u(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from ohyhhhuhd.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 216 + 288 = 40*v - 616 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000048106861 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is -60 + (22 - 1 - -8) - -8?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3728858?\nAnswer: 2, 7, 83, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 45814 + -41558. Which is smaller: n or 4257?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (-18 + (29 - 36))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: 50\/10*(-2)\/5*15\/15\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 45 - 26. Let m(l) = 8*l - 18 - 4*l - c. Calculate the remainder when 51 is divided by m(16).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 9 + 81 - 3)*(0*n + 3*n - 5*n).\nAnswer: -164*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 48133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 513 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 65083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 167, 176, 185, 194, 203, 212?\n\"Answer: 9*i + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.06 in 2, 3\/7, -17, 0.049, 0.68?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18277 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1184 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39\/10 + (-17)\/34 and (7\/(-14))\/((-2)\/200)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = -5*h + 15. Solve 2 = i - h*n + 7, -3*n + 15 = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 86269762 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:45 AM and 1:54 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = i - 3*f - 10, 4*i - 5*f - 81 = -76 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12742255 (base 8) to base 13.\nAnswer: -79579c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 192 + -178. Calculate the remainder when l is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 1085*q**3 - 11*q**2 - 11*q + 75. Let b(x) = 217*x**3 - 2*x**2 - 2*x + 14. Give 11*b(h) - 2*p(h).\nAnswer: 217*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 172900314 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18551 - -18544. Let j(x) = -x**2 + 4*x - 2. Let q(l) = l**2 - 4*l + 1. Determine v*q(p) - 6*j(p).\nAnswer: -p**2 + 4*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*(660\/48)\/(-5))\/((-2)\/(-4)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 322\/46*4\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -278\/9, 3, 15, -0.07, -0.525?\nAnswer: -0.525","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*d + 2827 + 2836 - 5663.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (32 + 1282*z + 1153*z - 2440*z)*(2 + 1 - 5).\nAnswer: 10*z - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1376789 or 1376809?\nAnswer: 1376789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 + 3. Let m(u) = -2*u + 19. Suppose 0 = w - 0*w + 5*v - 24, 3*w = 3*v + 18. Let d be m(w). Sort d, -2, i.\nAnswer: i, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 321 + -220. What are the prime factors of i?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 5*c - 0 - 8, 0 = 3*v + 4*c - 13. Suppose v*j - 6 = j. Let y be (5\/2)\/(j\/18). Solve -2*t = 3*t + y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/10  (b) -260  (c) 3  (d) -1.5  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = -2*i + 28, 4*i - 5*f + 2 = -2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 80 + 21 + 5*u - 1025 - 4*u + (2*u - 3*u + 0*u)*(-6 + 4 + 1).\nAnswer: 2*u - 924","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*n + 10432 = 64*n - 4088. Solve 0 = -125*y + n*y + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5371 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 3 = -5*s + 30, -18 = -3*s. Let p(v) be the third derivative of 0*v**4 + 0 + 0*v + 0*v**a - 3*v**2 + 1\/5*v**5 - 1\/15*v**6 - 2\/105*v**7. Factor p(h).\nAnswer: -4*h**2*(h - 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6.2 - -4.2. What is the nearest to n in 0.1, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 141 a factor of 8603264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 168874 = 3*n, 42449 + 41988 = k + 4*n. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 3*h + 13. Let y be ((-4)\/((-8)\/(-18)))\/(237\/158). Determine z(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) 16\/15  (c) -1\/3  (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 2  (b) -5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2186843208?\nAnswer: 2, 3, 11, 89, 163, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rsrrrrrmsrpprms. Give prob of sequence prsr.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 406*z**3 + 2*z**2 + 7*z + 6. Let n be g(-1). Let y = -341 - n. Solve 4*r = -y + 52 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3371 divided by 3964.\nAnswer: 3371\/3964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -3*a - 13. Let b be k(-14). Suppose -4*q + 0*q + s - b = 0, -37 = 5*q - 2*s. What is the units digit of (-16)\/(-56) + (-103)\/q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 151*z**2 + 21418*z. Let f(s) = 2*s. Give f(r(t)).\nAnswer: 302*t**2 + 42836*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 3*l)*(5 + 14 - 6)*(-2*l**3 + 0*l**3 - 2*l**3).\nAnswer: 156*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 36*z**2 - 4*z + 5. What is the tens digit of n(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 11\/10  (b) 4\/7  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/(-2))\/(42\/14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -s**2 + 6 + 3 - 4 to the form k*s + z*s**2 + g and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of 2*m**3\/3 + 3*m**2 + m - 29. Let d be b(-4). Suppose -d = k - 13. Solve -k*g = -g + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 489 + 159 = -2*m, 0 = -3*m + 3*t + 537. Let s = m - 151. Calculate the remainder when 43 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 2*b + 15. Let i be 1 - -4*(-3)\/(-6). What is the remainder when d(i) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8 + -24758?\nAnswer: -24750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/294 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -312, -324, -326, -306, -252, -152?\n\"Answer: 2*w**3 - 7*w**2 - 5*w - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22411199 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 173*g - 914*g + 20394 = 37330 + 25301 for g.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zccczczc. Give prob of picking 2 z and 2 c.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + ((-30)\/(-70) - -13).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 848540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -459 + 455. Let n be -1 - 24\/(-4) - f. Solve -a - n = a + 5*m, a = -m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*x + 7 - 7.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4265000 rounded to the nearest 100000?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -2*k**3 - k - 23. Let j(z) = z**3. What is 4*j(w) + l(w)?\nAnswer: 2*w**3 - w - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000023163 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -1314*b**3 + 20*b**2 - 5*b. Let z(i) = -229950*i**3 + 3504*i**2 - 876*i. What is 876*m(d) - 5*z(d)?\nAnswer: -1314*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.032 times -1.4?\nAnswer: -40.6448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 14\/56 + (-19)\/(-4) + 1. Let v(t) = 11*t - 1. Let c be v(1). Let y = -7 + c. Solve 0 = y*d - i*d - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -101?  (a) -2\/11  (b) -821  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/(f*f\/(f**(6\/5)\/f))*f**(2\/83) assuming f is positive.\nAnswer: f**(-322\/415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add -190.52 and 587.\nAnswer: 396.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(130)*2*5)\/sqrt(10) - (4*(sqrt(13) + 0) + -4).\nAnswer: 4 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 677 - 638. Suppose u*w - 5*w = 1632. Calculate the greatest common factor of w and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -469, -474, -479, -484, -489?\n\"Answer: -5*s - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000070808 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:01 AM and 3:20 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 21 + -13. Let k(j) = j**2 - 8*j + 6. Let q be k(c). Is (-11)\/(-2) + 3\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4 or -3285\/808?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00049520379 rounded to six dps?\nAnswer: -0.000495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3214*d + 2763*d - 20931 = 22885 + 9402 for d.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 315 + -306. Suppose -g + 2*w = -2, -f*w + 5*w = -20. Solve 4*s = m - 18, 6*s = 2*m + 4*s - g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 5*h + 735 = 0, -2*l - 4*h - 546 = 144. Let w = l - -544. Does 29 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + z = 16, -38 = -2*k - 3*k - 2*z. Suppose -2*v = h - k, -h + 12 = 2*v - 6*v. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 24 + 40?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let -14*c**4 - 396*c**3 - 98*c**2 + 396*c + 112 = 0. What is c?\nAnswer: -28, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of n**4\/12 - 3*n**2. Let r(o) = 3*o. Let q(a) = 4*k(a) - 3*r(a). Suppose -6*z = -2*z + 5*b - 12, -2*b = 0. Determine q(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:01 AM and 5:31 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/17)\/(117*(-169)\/26364)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.062641 minus -1.6?\nAnswer: 1.662641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -19, 576.\nAnswer: -19, -2, 576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7891971 and 402490521?\nAnswer: 402490521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 7*u + 4. Let d(q) = -1. Let n(j) = -3*d(j) - t(j). Let a = 2 - -2. Suppose -3*v + a*v - 2 = 0. Let x(h) = -2*h. Calculate v*n(f) - 6*x(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.3  (b) 1\/2  (c) -1000  (d) 8.4  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49693683?\nAnswer: 3, 13, 19, 199, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 2 = -5*z, -16 + 25 = g + 7*z + 17 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 5, 278, 1, -3 in increasing order.\nAnswer: -3, -1, 1, 5, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the second derivative of y**7\/28 + 2*y**6\/5 - 69*y**5\/40 - 13*y**4\/4 + 11*y**3 + 30*y**2 - 8248*y. Determine a, given that k(a) = 0.\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -6\/17  (b) 1\/7  (c) -2  (d) 2\/5  (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1905 = -5*j - 2*s, -4*j = s - 2085 + 564. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/586 and -31\/467095.\nAnswer: 273717670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (j**2 - 3*j**2 - j**2 + (-3*j + j + 0*j)*(2*j - 5*j + 4*j) + j**2 + 2*j - 2*j)*(33*j - 114 + 114) as r*j**2 + d*j**3 + o*j + x and give d.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 486 and 14166?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 736.59335355 - 696.593354. Let c = 40 - r. Round c to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -22*s**3*t*x + s**3*x + 870*s**3 - 680*s**2*t*x - s**2*t + 240*s**2*x - s*x + 2*x wrt s?\nAnswer: -132*t*x + 6*x + 5220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/108*-6*9. Let s(q) = -33*q**3 + q**2 - q - 1. What is s(v)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 617 - 235. Let f = c - 305. Which is smaller: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * -0.092338.\nAnswer: 0.0277014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4089307, -4089302, -4089293, -4089280?\nAnswer: -4089263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**3 - n**3 - 17*n + 9*n)*(-2*n**2 + 2 - 2).\nAnswer: 4*n**5 + 16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -40 - -17. Let l be 451\/(-143) + 6\/39. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 5*a**2 - a + 3. What are the prime factors of h(-3)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2857.937 millilitres to litres.\nAnswer: 2.857937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 1\/4 + 1\/4*z**2 + 1\/2*z = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13758884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -9.94 and 6692.\nAnswer: -66518.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12 + 12 + 91*q + 170*q to the form b*q + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 15*i**2 + 5*i - 8. Let a be f(2). What is the highest common divisor of 217 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -79, -75, -55, -13, 57, 161, 305?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2\/269  (b) -0.3  (c) -2\/95  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4415*f**3*s**3 + 42*f**3*s**2 - 19*f**2*s**2 + 2*f**2*s - 2*f wrt s?\nAnswer: 26490*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -26.2\nAnswer: -78.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/47  (b) 10  (c) 0.4  (d) -0.3  (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -195 + 278. Suppose -4*a + c = -q, 2*a + 89 = 6*a - 3*q. Calculate the remainder when 77 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 265*w - 269*w = -12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -16, 18, 4, -54, 5, 0 in ascending order.\nAnswer: -54, -16, 0, 2, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -5*h**2 + 54*h - 144. Let u be x(6). Let f = 1 - 1. Solve 0 = -u*g - 3*g - f*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*q - 3*x + 60 = 0, 3*q - 78*x + 27 = -37*x - 37*x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-8)*(-1 - -1). Let c(x) be the second derivative of 0*x**3 + 0*x**2 + 1\/10*x**5 - 1\/12*x**4 + j - 1\/30*x**6 + 2*x. Let c(r) = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.5, 5, 1330, -220, -3\/4, 8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*-11524.445.\nAnswer: 2304.889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 73483 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 82  (b) 3  (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4212) + sqrt(4212)*2)*-1)\/(sqrt(400)*-2 + 1*-2*sqrt(4)).\nAnswer: 27*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k + 47. Let t be c(0). Let y = 83 - t. Calculate the greatest common divisor of 24 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -5*d**3 + 3*d**2 + 2*d - 3. Let f(j) = -j**3 + j**2 + 2*j - 1. What is a(p) - 2*f(p)?\nAnswer: -3*p**3 + p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 60.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 577898593 to the nearest integer?\nAnswer: 24040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 4211 divided by 1\nAnswer: 4211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/(w\/((w\/((w\/w**(-6))\/w)*w)\/w))*w)\/w**(-5\/6))\/(w**(8\/3)\/(w\/(w*w\/((w\/w**1)\/w*w)))))**(-1\/58) assuming w is positive.\nAnswer: w**(41\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -434 - -436. Solve 8 - 10 = -o*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the third derivative of 0 - 5\/1008*k**8 + 0*k**3 - 1\/120*k**6 + 0*k - 1\/70*k**7 + 1\/180*k**5 + 0*k**4 - 14*k**2. Solve w(l) = 0 for l.\nAnswer: -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 275*n**2*r - 3438*n**2 - 12*n*r**2 + 4*n*r + 2*n + 9*r**2 + 804 wrt r?\nAnswer: 275*n**2 - 24*n*r + 4*n + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1003 + -3?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-7)*t*t*(t\/t**(-6))\/t)\/((t\/t**(3\/2))\/t*t\/(t*t**(-2))) assuming t is positive.\nAnswer: sqrt(t)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (-13 + 12)\/((-4)\/1300) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.042 + 0.042. Let t = 129.4 + -129. Which is the closest to -1\/3?  (a) i  (b) t  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -576\/13614665?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3) - (sqrt(3) - -3*sqrt(3)))*2)**2*6 + -3.\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g**3\/5 + 29*g**2\/5 + 2*g\/5 - 168 = 0. Calculate g.\nAnswer: -5, 6, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bmw when three letters picked without replacement from {b: 1, m: 1, p: 2, w: 2, j: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -149 - -142. Let c = y - -70. What is the smallest common multiple of c and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 + 11*c. Let j be x(-11). Solve 0 = 3*d + 2*l + 10, 5*d + j*l + 20 = -5*l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 PM and 9:12 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1061783*q**2 + 3119899*q wrt q.\nAnswer: 2123566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the first derivative of -i**2\/2 - 586. Let l(c) = -3*c - 7. Calculate -l(k) + 4*y(k).\nAnswer: -k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2*g - 53. Let m(z) = -6*z - 178. Let b(f) = -2*m(f) + 7*w(f). Calculate b(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -132290 divided by -26458\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/90*6621620\/(-24). Let v = -9196 - n. What is the common denominator of v and ((-172)\/48)\/(6 + -11 + 3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/3 equal to 162049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/((-5)\/(-2)))\/(-3*(-2)\/(-5)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z**(-5)*z))\/z**4 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1276 + 0?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 9*r**2 + 6*r. Let j be 10*(-6)\/12 - -3. Calculate the remainder when 115 is divided by w(j).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 3*d - 52. Let z(f) = 10*f**2 + 3 - 8*f**2 + d*f + 7. What are the prime factors of z(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/12 + (-9)\/(-24)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*o - o = 4*o - 91 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbbvwvwcbvbbbibwwbw. Give prob of picking 2 w, 1 v, and 1 c.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 6*v**3 + 21*v**2 + 26*v - 10. Let j(g) = g**3 + 4*g**2 + 5*g - 2. What is 11*j(l) - 2*r(l)?\nAnswer: -l**3 + 2*l**2 + 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 2742.406 kilometers?\nAnswer: 2742406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/((-9)\/(-36)*-6*60\/(-135)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 749178213 - 1.9.\nAnswer: 749178211.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2*f**2. Let r(t) = 34*t + 4. Let d(g) = 23*g + 3. Let i(v) = 8*d(v) - 5*r(v). What is i(u(z))?\nAnswer: 28*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 6 - 1. Let w(q) = 7*q + 1. Let r be w(-3). Let c be (-15)\/6*16\/r. Solve -d = s - 2 - 0, c*d - 25 = l*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 208 divide (-256)\/40*(-63440)\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -4*j + 5 + 0*j - 9*j. Let y be t(-2). Suppose y = -3*p + 43. Solve s - p = 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 127007652 to the nearest integer?\nAnswer: 11270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/10 - 612\/2805. Which is the closest to -1\/51?  (a) d  (b) 8  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 104 - 56. Suppose 3*v = 36 + k. Suppose -4*g + v = 4*h, 5*h + 0*h = -4*g + 40. Calculate the remainder when 33 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*h**3 + 330*h**2 - 299*h**2 + 12*h**3 - 31*h**2.\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1\/(-1)*(-287 - 17) - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 6*u - 4. Suppose 5*b - 165*o - 136 = -164*o, -3*b + 3*o = -72. What is the remainder when d(15) is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -633000 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 131 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes after 10:23 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 85 = -m + 7, -3*w - m + 139 = 0. Let k = w + -32. Solve -2*h - k = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the second derivative of 185*h**6 + 1785*h**4\/4 - 57*h - 23. What is the third derivative of y(d) wrt d?\nAnswer: 133200*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*s**3 + 1 - 2 + 8*s**3 + 2*s**2 to the form g*s + q*s**2 + h*s**3 + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4556 and 604724?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 2*g**3 - 46*g**2 - 44*g - 105. Calculate b(24).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-63)\/182*(-377)\/348. Which is the nearest to j?  (a) -4  (b) 2  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -648794 - 129206. What is x rounded to the nearest 10000?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71020*z**2 + 35527*z**2 + 35500*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 2*a**2. Let x(w) be the first derivative of -1 + 0*w + 8\/3*w**3 + 0*w**2. Give o(x(u)).\nAnswer: 128*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f**4 + 3*f**3 - 3*f**3)*(2*f + f - 5*f) + 9*f**5 - f**2 + f**2.\nAnswer: 3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 726, 723, 720, 717, 714?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 820*l + 4489. What is the thousands digit of c(44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6768316?\nAnswer: 2, 61, 27739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10547 + 13?\nAnswer: 10562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5676 = 225*y - 355*y + 259*y for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:12 PM and 4:50 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 18*x - 2*x - 6*x - 9*x. Let o(b) = 174*b. What is o(v(j))?\nAnswer: 174*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, y: 1, o: 1, s: 1, u: 1}. Give prob of sequence ho.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmmmmnnmm. Give prob of sequence nn.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11439 by -31.\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20*7895.\nAnswer: -157900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -145 - -11?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -459*d**3 + 24*d**3 + 162*d**3 + (-50 + 50 - 6*d)*(2 + 2*d**2 - 2) - 5*d**3 + d**3 + 2*d**3.\nAnswer: -287*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 230942.62 rounded to the nearest one hundred?\nAnswer: 230900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -4*b**2 - 6*b + 4. Let s(j) = -50234153 + 0*j + 50234154 - j - j**2. What is h(n) - 8*s(n)?\nAnswer: 4*n**2 + 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(-5\/7))\/(p\/p**(2\/69))*p**(-11\/3)*p**(-22) assuming p is positive.\nAnswer: p**(-12038\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {z: 1, h: 2, t: 1, p: 1, w: 1, y: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54573 is divided by 1510.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -0*a + 6. Let y = -1\/64 + 263\/448. What is the biggest value in a, 1.6, y?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -36 - -35.4. Let z = p - -0.3. Let o = -0.5 + 0.8. Which is the second smallest value?  (a) o  (b) -4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10010011101110100 (base 2) to base 11.\nAnswer: 51910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -27*u + 172. Let s be l(6). Suppose 5*g = -s, -2*g + 25 + 13 = 2*p. What is the remainder when 157 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 650 and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 58799*j**4 + j**3 - 90484*j**2 wrt j.\nAnswer: 1411176*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - (6 + -5)) + (2 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the first derivative of -z**4\/2 - z**3\/3 + 3*z**2\/2 - 93. Let x(r) = -r**3 - 2*r**2 + 4*r. Determine 4*v(c) - 3*x(c).\nAnswer: -5*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 2*b + 5*b = 2, v + 3*b - 10 = 0. Solve 0 = 5*f + v + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**3 + 0*p**3 - 2*p**3)*(2*p - 16 + 16 + 3*p**2).\nAnswer: -3*p**5 - 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:19 PM and 10:11 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4*(3 + 14\/(-4)). Let i(f) = f**2 - 7*f + 12. Let j be i(4). Sort j, 5, s, 4 in increasing order.\nAnswer: s, j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 - 20 = 4*d - 2*b, -2*d = -4*b + 26 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 2*z - 1 - 3 = 0, -l = 2*z - 8. Suppose y - 10 = 3*j, y + 2*j - 24 = -l*j. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zwwedzb. Give prob of sequence bew.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -14 - (-14 + 2 - 6 - -6 - -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 4*o = 0. Suppose -5*j + 73 - 8 = o. Let r(s) = s**3 + s**2 + s + 4. Let b be r(0). Solve -4*m - b*x + j = m, x - 1 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 127466 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 126*g - 96262 = -13732. What is the greatest common divisor of g and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + 2*p = -34, -163*n + 168*n + 55 = -5*p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 52559 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -150448942*r**6 - 4*r**2 - 9934489?\nAnswer: -18053873040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1196 - 699. Let x = -310 + n. Suppose 2*g + 6 = h - 1, 0 = h - 5*g + 8. What is the greatest common factor of h and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24.6 + 22.6. Let i = -4 - -2. Let z = i + g. What is the closest to 0 in -5, z, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**4 + 0*m**4 - 8*m**4)*(-2*m + 3*m + m).\nAnswer: -18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2064447 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/2)\/(3\/(-30)*120\/16).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 2*p - 5 = 0, -3*p + 2 = -t + 5*t. Let c be (-72)\/(-10) + t\/5. Suppose 0 = c*j - 3*j - 24. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8142, 7946, 7748, 7548, 7346, 7142?\nAnswer: 6936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 20*y + 15. Let b(t) = -t - 1. Let q(j) = a(j) - 2*b(j). Is 21 a factor of q(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8264 + -24793\/3. Let x = -0.5 - -0.3. Which is the closest to -1\/2?  (a) w  (b) 1\/20  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -79 - 8767?\nAnswer: -8824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (96\/480)\/((-6)\/(-20)*1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/539400 and 133\/5520?\nAnswer: 24812400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (51 - (38 + (22 - 40) - 19)) + -3 + 17.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 86592 and 23843776.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (17\/63 - 0) + (-8)\/(-28). Put -2\/11, 0.2, f, 1 in descending order.\nAnswer: 1, f, 0.2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 2*z**3 + 85*z**2 + 13*z + 211. Calculate h(-42).\nAnswer: 1429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 733 + 0*q**2 - 3*q**2 - 3*q**2 + 36 + 7*q**2. Let a(i) = 3*i**2. Give a(y(m)).\nAnswer: 3*m**4 + 4614*m**2 + 1774083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -36073, -36107, -36153, -36205, -36257, -36303, -36337?\n\"Answer: j**3 - 12*j**2 - 5*j - 36057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4 - -5)\/(1\/7). Let c be 2\/(-6) - w\/(-3). Suppose -c*m - 16 - 32 = -4*y, -58 = -5*y + 3*m. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -59025*q**5*v**2 - 9614*q**2*v - 4*q*v**2 wrt q.\nAnswer: -3541500*q**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 3*i**3 - 5*i**2 + 5*i - 13. Let m(d) = -4*d**3 + 7*d**2 - 7*d + 19. Give 5*m(h) + 7*y(h).\nAnswer: h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3  (b) 0.1  (c) -0.2  (d) 2\/247  (e) 2\/21  (f) 94  (g) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 76957b (base 13) in base 15?\nAnswer: 3a200c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.37 - -0.03. Let v be 3*(-2)\/(-60)*108\/(-1). Let m = v + 496\/45. What is the third smallest value in m, -1\/2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -508337968 divided by 5594?\nAnswer: -90872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the first derivative of -14*g**3\/3 + 23*g**2 - 12*g + 17. Factor v(k).\nAnswer: -2*(k - 3)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23355 + 10*(-2 + 9 + -8)?\nAnswer: 5, 7, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-9 + 153\/18)*2*3. What is the closest to 0.1 in 0.1, p, 0.02?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8536.152 days in microseconds?\nAnswer: 737523532800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - f**3 + 1 - 11*f**3 - 20*f + 24*f in the form t + q*f**3 + g*f**2 + x*f and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 27.1*-399\nAnswer: -10812.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -33*q + 19. Let h be m(0). Solve 0 = h*j + 39 - 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 + 2 + (-18778404)\/45. Let c = -417448 - s. Let o = c - -153. Is o at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 12:35 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 646323.5mg to micrograms.\nAnswer: 646323500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (4 - (-3 - -10) - (1 + 9))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -2*n**3 - 25*n**2 - 23*n + 6. Let h(l) = l**3 + 13*l**2 + 12*l - 3. Let y(z) = -5*h(z) - 3*w(z). Calculate y(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + z)*(0*z + 0*z - z)*(3*z - 7*z + 6*z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 9, l: 3}. What is prob of picking 1 l and 3 i?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6 + -6 + (-2)\/(-2) + -2. Let o be 69\/15 + 2\/5. Sort -4, o, d.\nAnswer: -4, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 112 and 542848.\nAnswer: 3799936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1962 and 324.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -299.19996758 - -299.2. What is i rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 29*c**2 + c**4 + 21*c + c**4 + 37*c wrt c.\nAnswer: 24*c**2 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 25*g - 765. Let y be w(31). Solve -3*c = -4*h - 5, 0*h = -h - c - y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5135.\nAnswer: 5, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 27971 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than -30212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/((-12800)\/120))\/(1\/12)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -875 = -23*b + 3886. Suppose -61*t + 70*t - b = 0. Calculate the remainder when 104 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*p**4 + 192*p**3 + 503652*p**2 - 611287*p - 167?\nAnswer: 24*p**2 + 1152*p + 1007304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/4436 and -83\/188.\nAnswer: 208492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1315 rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/5 + 4\/10. Suppose a = 4*n - 82 - 174. Suppose 3*u + 5*l - 48 = 0, 8*u + l - n = 4*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5555 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**3 - 2*s + 2*s)*(0 + 0 + s**2) + (-12 - 6 + 7)*(5*s**5 - s**5 - 2*s**5).\nAnswer: -23*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes before 2:21 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 5*n**2 - 100*n + 213. What is the least common multiple of 14 and k(23)?\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13823723239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -2*v**5\/11 + 24*v**4\/11 - 32*v**3\/11 - 96*v**2\/11 + 160*v\/11 = 0?\nAnswer: -2, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 203226 (base 10) to base 13.\nAnswer: 7166a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1)\/2)\/(2\/(-252)). Suppose -25*z = -765 + 265. Let n = d - z. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (48495\/150)\/(-53) + 4\/40 + 0. Let z(g) = 2*g + 13 + 0*g + g. Determine z(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -10\/5047?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 210339 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -12*m + 63. What is z(7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + -4. Let b = 11 + -17. Let u = -7 - b. What is the closest to j in -2, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 106322849?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**2 + 10*q - 9. Let h be b(6). Let m = -7 + h. Solve 0 = -5*w + 3*i - 6*i - 11, 0 = -w - 4*i + m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -87\/32 and -47\/11?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -4*q + 8. Let o(s) = -4*s + 6. Let l(g) = 3*m(g) - 4*o(g). Let h(k) = -13*k. Determine h(l(x)).\nAnswer: -52*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - ((7 - 1) + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -118 divided by 485840.\nAnswer: -59\/242920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.8695448m?\nAnswer: 869.5448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 100, 849, 2100, 3853, 6108, 8865, 12124?\n\"Answer: 251*r**2 - 4*r - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 756, -0.15, 0.023, 1\/6, 0.2 in decreasing order.\nAnswer: 756, 0.2, 1\/6, 0.023, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -15509.2051 - -15510. Round b to two decimal places.\nAnswer: 0.79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 0 - (1066 - 1090)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-91)\/21 + (86\/33 - 0)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/54*(-165)\/110*16.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 + 5*g**2 + g - 2. Give h(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 + 6*o**2 - 10*o + 13. List the prime factors of j(-7).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the third derivative of -y**4\/12 + 4*y**3\/3 - 120*y**2. Let a(k) = -29 + 29 - 3*k**2. What is x(a(f))?\nAnswer: 6*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6117, 12239, 18371, 24519, 30689, 36887?\nAnswer: 43119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 91524.6 from -69486.\nAnswer: -161010.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3659 - 3663. Let y(n) = -n. Give y(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-13 - -31) + -12 + 29\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the first derivative of -i**4\/4 - 7*i**3\/3 + i**2\/2 + 9*i - 2. Let p be v(-7). Is (p + 0\/3)*8 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/368 and -7\/1050318.\nAnswer: 8402544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/7?  (a) -2\/17  (b) 0  (c) -5  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(320) - (-1 + sqrt(320)))*3*4)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 5, 166*o - 2456001 = 170*o - l. Round o to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1431\/34 + -42. Let p(v) be the third derivative of -v**6\/120 + v**5\/20 + 7*v**4\/6 + 5*v**2 + v. Let z be p(7). Is g at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -12.1 and 112650.\nAnswer: -1363065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**2 - 14*r - 9. Let b be s(-14). Let j(w) = -2*w - 6. Calculate the lowest common multiple of 18 and j(b).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/((-3)\/(6*-9)). Suppose 2 = -2*c, -4*c + 6*c = -4*r + v. Suppose 21 = -2*l + r*d, 2*l - 3*l + 17 = 3*d. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**2\/3 - 129087*u\/2 + 387249\/2 = 0. What is u?\nAnswer: 3, 387249\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*q**2 - 11 + 3*q**2 - 31*q**3 - 4*q**2.\nAnswer: -31*q**3 + 2*q**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 2*o. Let r(x) = 5*x + o*x + 2*x. Let h(w) = 2*w - 4. Let p(c) = -10*c + 22. Let j(v) = -11*h(v) - 2*p(v). What is j(r(i))?\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5184)*2)\/(sqrt(72)\/sqrt(6)*3) - (sqrt(147) + -6*(sqrt(147) + 1 + sqrt(147)) - (0 + 3*sqrt(147) + sqrt(147))).\nAnswer: 6 + 113*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 17*p - 2. Calculate the remainder when 95 is divided by u(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98 is divided by (-2 - 0) + 6\/4*24?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 237 is divided by ((-176)\/(-14) - -2)*28\/8*1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 4*h - 8 = -2*o, -5*o - 10 = -5*h. Let q(m) = 2*m - 185. Let t be q(-35). Let i = t - -265. What is the remainder when i is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4741900 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 4 = 3*c, 0 = 6*c - 9*c + 6. Let r(s) = 43*s**2 - 23*s**j - 14 - 12 - 19*s**2. Let d(q) = -2*q**2. Calculate r(d(p)).\nAnswer: 4*p**4 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 970161.6 rounded to the nearest ten thousand?\nAnswer: 970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wdwyryyrydywdwyywyd. What is prob of picking 2 r and 2 d?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**2. Let w(g) = g**2 - 4*g + 8. Let f(k) = -2*d(k) - w(k). Calculate f(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*h - 9 = -21*h + 6. Let m(c) = -c**2 + 7*c - 8. Let o be m(6). Let t = o - -1. Put h, 3, t in decreasing order.\nAnswer: 3, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 3*k - 29. Suppose -s - k = -21. Which is the second biggest value?  (a) -7  (b) -1\/7  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + (4 + -3 - -6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 13, i: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -11*n. Let r(s) = 30*s - 5. Calculate r(y) - v(y).\nAnswer: 41*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + v - 2*a + 4 = 0, 0 = -4*v + 2*a - 6. Let q be 22\/(-24) + 5\/20. What is the closest to v in -4, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + q = 4*x + 4, -4*x = q - 12. Solve -f - 2*s - s = -11, -q*f - s + 22 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/4 - (-429)\/26. Suppose -n - 103 = -5*h. Calculate the greatest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 10*n - 264. Let o = n + -23. Let w be (-2)\/3 + 473\/129. Calculate the highest common divisor of o and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + -4. Let h = 266.9 + -267. What is the second smallest value in l, h, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 11 + -8 + 6\/2. Suppose 22 = 2*s + 4*n, 5*n - 40 = -t*s + s. Find the second derivative of 13*p**s - 5*p - 5*p**5 - 5*p wrt p.\nAnswer: 160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*y**2 + 132*y**3 + 11*y - 11*y - 3*y**2.\nAnswer: 132*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 12\/5  (b) 0  (c) -3  (d) -10  (e) 232\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -14*v**2 + 35*v + 3. Let w(z) = -13 - z**2 - 22 + 34 + z. Let l(s) = q(s) + 3*w(s). What is the second derivative of l(p) wrt p?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = -34*i + 16. Solve -5*v = -2*b - 11, 2*b = -i*b + v - 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -116.9 - -117. Let z = -0.006 + -22.994. Is l at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11988)\/((-1800)\/50)*(-3)\/(-27).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -13748*q**3 + 166360*q**2 - 16608*q = 0.\nAnswer: 0, 346\/3437, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -490\/3 + 163. Which is the nearest to 16?  (a) r  (b) -0.1  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 186113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u*u**(7\/5)*u)**43 assuming u is positive.\nAnswer: u**(1161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 8*z**2 + z + 16. Let q(j) = -4*j**2 - j - 1. Let o be q(-2). Is c(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 11*p**2 - 2064*p - 5. Let f(z) = -14*z**2 + 2063*z + 6. Calculate -3*f(v) - 4*u(v).\nAnswer: -2*v**2 + 2067*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5573805?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(2\/9)*l*l*l*l**(-3\/8)*(l*l*l*l**3*l*l)**1 assuming l is positive.\nAnswer: l**(781\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(209)*-2 - sqrt(209))\/(sqrt(110)\/sqrt(90)).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 3160 divide 94528240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1497922561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1676*f**5 + 74*f**4 - 162870*f wrt f.\nAnswer: -33520*f**3 + 888*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the second derivative of -2*r + 0*r**5 + 0*r**3 - 11\/42*r**7 + 0 - 1\/2*r**4 + 0*r**6 + 0*r**2. What is the third derivative of m(p) wrt p?\nAnswer: -660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (40\/(-400)*590 + -3)*(-2)\/(-4)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1497 and 392171086?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -k**3\/4 + 15*k**2\/4 = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(4\/11))**32)**36)**(-5) assuming c is positive.\nAnswer: c**(-23040\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 11.78855321 to four decimal places.\nAnswer: 11.7886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 30, 34 in descending order.\nAnswer: 34, 30, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*g + 33 - 33 + 2*g**2 + (g + 2*g - 4*g)*(2*g - g + 0*g).\nAnswer: g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 smaller than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -8\/1511 <= -4236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-168)\/(-72)*5\/(-20). Which is the third smallest value?  (a) 4  (b) 1\/5  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 12345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14068 less than 14071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -741 - -743. Let q(b) = -37 + 113*b**2 + 116*b**2 - 228*b**j + 0*b - b. Calculate q(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 184659282?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/4*(-120)\/10. Let i(b) = -59*b - 6. Let n(x) = 10*x + 1. Let w(c) = i(c) + 6*n(c). Let q(s) = 4*s + 3. Give m*w(d) - q(d).\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 35 - 30. Solve j*z + 0*z = -25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 2*y - 853 + 24 = 0, 4*l - y + 1098 = 0. Let m = l - -335. Calculate the remainder when m is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100101110 - 101100?\nAnswer: -1101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 - 3*m**2 - 42*m - 363. Determine v(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -150.4 - -120. Round y to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (12 - 2 - (-1 + 3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11453, 10328, 7309, 1460, -8155, -22472, -42427?\nAnswer: -68956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 3*f - 5 = 8*f, -2*f = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 666 + -660. Solve 5*s + 4*v + 5 = 0, j = -5*s - 3*v + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1271 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8474618*r + 19086904 wrt r.\nAnswer: 8474618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 24424 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 39475042 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 1)*(9*n + 7 + 4*n - 7*n)*(-2*n**3 - 4*n**3 + 5*n**3).\nAnswer: -6*n**4 - 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -6*s + 9. Suppose -4*p - 3*v + 19 = -148, 101 = 2*p + 5*v. Let t = p + -31. Calculate the smallest common multiple of s and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence th when two letters picked without replacement from hmhhqhtr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 144775880?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b - 31. Let w be k(-12). Let p = -29 - w. Are -10 and p non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*g**3 + 10*g**3 - 3*g**5 - 3*g**5 - g**3 + g**3 + (-g**5 - g**5 + 0*g**5)*(1 + 2 - 4) - 3*g**4 + 3*g**4 + g**5.\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (3 - -4 - (6 - -5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1872 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2223113023 (base 4) to base 12\nAnswer: -29a237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11977 - 347285\/29. Find the common denominator of q and 47\/7.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 4, d: 3, b: 1, v: 3}. Give prob of picking 2 d, 1 b, and 1 v.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 333*u + 155. Let z be g(0). Is 617\/4 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 217039 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -824 - -1256. Let q(j) = 3*j + 432 - s. Let c(x) = -2*x. What is c(q(l))?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9695 is divided by 379?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -0.1, 0, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i - 4*i + 2*i)*(92*i**2 + 25901*i - 33*i**2 - 25906*i).\nAnswer: 59*i**3 - 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(((-6*(sqrt(700) + 1 + sqrt(700) + sqrt(700)))**2 - (6*(sqrt(56)*-2)\/sqrt(8))**2) + -3).\nAnswer: -451650 - 4320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 796 + -793. Let m(i) be the first derivative of 0*i**2 - 2\/55*i**5 - 10 - 1\/11*i**4 + 0*i**j + 0*i. Factor m(l).\nAnswer: -2*l**3*(l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.07 + -0.07. Let t = -7 - m. Let s = t - -7.5. Which is the third smallest value?  (a) 2  (b) 0.1  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**23\/g**9*(((g*g\/(g\/(g\/g**9)))\/g)\/g)\/(g\/(g\/((g\/(g*g**(-13)))\/g)*g*g)) assuming g is positive.\nAnswer: g**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -5 + y + 4 - 2*y. Suppose 3*t + 28 = -4*h + 2*h, -4*h - 2 = -3*t. What are the prime factors of r(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fusfffsufssu. Give prob of picking 1 s and 3 f.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 20 - 13. Let h(i) = 43*i + 6. Is h(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*z = 461 - 500 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 4*o**2 - o + 2. Let j be i(-2). Let s be ((-1)\/(-2))\/((-1)\/j). Suppose -54*m + 2159 = 2699. Is s greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) 2\/39  (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 768 + 13073. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -26, -411, -1522, -3719, -7362?\n\"Answer: -60*c**3 - 3*c**2 + 44*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from pnldfmpf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 46483 and 32448377?\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-7 + 2)*(-8)\/(-60). Let g(c) = c + 7. Let u be g(-5). Suppose 0 = -2*i - 3*i - y - 10, -5*i + 5 = -u*y. Which is greater: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 2)*(-l - 2*l**2 + l) - l + l + l**2 + 3 - l**2 - 3 + (3*l - 2*l + l)*(-2 + 2 - 3*l).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 109171353.\nAnswer: 3, 36390451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8 - 15?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i**(2\/75)*i)\/i*i)\/(i*i**(-2\/23)))**(1\/9))**37 assuming i is positive.\nAnswer: i**(7252\/15525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 677817012\/(-21) - 4\/(-7). What is b rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 125*d - 734*d - 347*d - 372*d.\nAnswer: -1328*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -2792*c - 458369. What is l(-164)?\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 805*h = 812*h - 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as -39\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1561e - 36?\nAnswer: 155d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -20*k**2 + 305*k - 51. Let n be x(16). Let z = 31 - 321. Is z > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111001110100001011 (base 2) in base 5?\nAnswer: -30034221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/28 + 12\/7. Suppose -w*i - 15 = -7*i. Suppose 3*r - i*a = 0, 4*a + 8 = -0*a. Let f(d) = 3*d**2 + 4*d + 2. Determine f(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -343.535 rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 515 is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 2*a**3 + 202286*a**2 - 606876*a = 0.\nAnswer: -101146, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - 49 = 253*r - 248*r, 0 = 3*d - r - 41 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 - 19*y + 99. What is q(-15)?\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 105308 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13.78 + 1.62. Let t = 112 - 97. Let x = t - m. Put x, -4, 5 in decreasing order.\nAnswer: 5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2\/4*(-18 + 48) and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 308 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**2 + 1832*d - 4 + 1826*d - 5485*d + 1826*d. Let a(f) = -f**2 + f + 3. What is 5*a(j) + 4*r(j)?\nAnswer: -j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.037 and 0.2?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of a**2*n**2 - a**2*n + 7*a*n**2 - 51*a*n - 2*a + 498*n**2 - 4*n wrt n?\nAnswer: 2*a**2 + 14*a + 996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**3 + 672*d**2 + 6804*d + 10912.\nAnswer: -(d - 682)*(d + 2)*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 + 1. Let f(l) = -14*l**2 + 6*l - 16. Let n(w) = 12*d(w) + f(w). Suppose -13*i + 14 = -11*i - 3*s, 2*s = -4*i + 12. What is n(i)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -32768\/53 - -78386197\/126776. What is the common denominator of a and 91\/40?\nAnswer: 11960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f + 0*f - 3*f)*(4*f**3 - 2*f**3 - 5*f**3) + (-4*f + 8*f + 10*f)*(2*f**3 - f**3 - 3*f**3).\nAnswer: -22*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -738622\/11 or -67147?\nAnswer: -67147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1974.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-68)\/(-1020))\/((-6)\/(-10)))\/((-6)\/2)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -7*a**4 + 14268*a**3 - 7301051*a**2 + 31044942*a - 8274312 = 0.\nAnswer: 2\/7, 4, 1017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 31938092 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {o: 1, y: 1, q: 5, t: 5, d: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/651080 and 107\/1204498?\nAnswer: 24089960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -4*i + 3*i - 5*o, -3*i + 7 = 4*o. Solve -i*k = 4*x - 16, -2*x = -0*k + k - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*g**2 + 7227239*g - 7227239*g.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-9)\/(-6))\/(9\/(-12)). Let h be ((-1)\/y)\/((-5)\/(-40)). Suppose h*s - 22 = 2. Solve -3*w = -0*w + s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 647.914 from 3.53.\nAnswer: -644.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4998211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**3 + 2*q**2 - 6*q - 4. Let a be k(5). Let r = 0.742 - 4.742. Sort 2\/5, a, r in descending order.\nAnswer: 2\/5, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 122\/1023 - 5\/33. Let w be ((-20)\/(-45))\/((-62)\/51). Let n = w - v. What is the third smallest value in -0.5, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.2 from -491459.\nAnswer: -491458.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -394 - -390. Which is smaller: d or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (216\/48*8\/(-18))\/((-2)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v - 8*k = 4494 - 4304, 0 = -4*k - 92 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -399*f**3*n**3 - 2*f**2*n**2 - 3*f**2 + 141*f*n**3 + 5*f*n + 2*n**3 wrt f?\nAnswer: -2394*f*n**3 - 4*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0108223653 rounded to four dps?\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-945)*54)\/((-12)\/20).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -2*f + 21. Let b be d(6). Suppose -3*t + 265 = -o, -t - 4*o + o = -95. Let c = 188 - t. Calculate the highest common factor of b and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 222086 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of -d**4\/6 - 5*d**3\/6 - 3*d**2. Let w(t) = -17*t - 20. Let p(v) = 2*w(v) - 9*y(v). Differentiate p(a) with respect to a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 8*i**2 + 2*i - 3. Let j(f) = 335*f**2 + 339*f**2 + 335*f**2 - 2 - 1010*f**2 + 3. Calculate 6*j(k) + m(k).\nAnswer: 2*k**2 + 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -5690*d + 335713. Give j(59).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 2*u = 2*u + 30, 0 = 3*j - 5*u - 76. What is the greatest common divisor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.024042 rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6569 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 618265 is divided by 2642.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(198)\/sqrt(11) + sqrt(18))\/sqrt(6)*-1 - (3*sqrt(33)\/(sqrt(11)*-5*-1 + sqrt(11)))**2.\nAnswer: -2*sqrt(3) - 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 282 divide 78236388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -31.8 - -32. Which is the nearest to -0.1?  (a) -4  (b) p  (c) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 97911957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5.04 - -5. Let w = -4.56 + g. Let p = w - -5. What is the biggest value in -2\/9, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2024036 is divided by 324.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6934985.\nAnswer: 5, 929, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -41 - -59. Is a less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3367 equal to -3368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28066.\nAnswer: 2, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -9172471.2 rounded to the nearest one thousand?\nAnswer: -9172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -8*q - 9. Let u be g(-6). Let z = -38 + 51. Calculate the highest common divisor of u and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(847)*-1 - sqrt(847))*4)**2.\nAnswer: 54208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 174\/90 + (-7)\/(-105). Sort l, 0, 48 in decreasing order.\nAnswer: 48, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2370883.66 rounded to the nearest 1000?\nAnswer: 2371000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 322994314 is divided by 5192.\nAnswer: 5186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -2*r**3 + 117*r**2 - 1308*r + 138. Give b(15).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 12*4\/40*(-5)\/(-2). Suppose -18*x + v*x + 1020 = 0. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/297)\/((7\/(-21))\/(-1))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2190 and ((-4)\/10*(-42)\/14)\/((-19)\/(-760)).\nAnswer: 17520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26, -44, -86, -164, -290, -476?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 - (86 - (-22 - -77)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -6780898403 and 7091.\nAnswer: -6780891312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:31 PM and 7:47 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130965217 is divided by 4677329.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -3) + (0 + 4 - 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -144*k**5 - 69*k**4 + 39*k**3 + 5043*k**2 - 101 wrt k?\nAnswer: -8640*k**2 - 1656*k + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -2*q + 1. Let b be o(3). Let w(c) = -c**3 - 5*c**2 - 3*c - 5. Let u(x) = 269 - 799 + 262 + 269 + 3*x**2 - 2*x**2. Determine b*u(j) - w(j).\nAnswer: j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -3*a + 14. Let g be r(6). Let q be (-4)\/g - (-2)\/(-2). What is the first derivative of 2*j**4 + 1 + q*j**3 + j**3 - j**3 wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 + 12. Suppose -4*i = -j + 3*j - 2, 40 = 4*j - 4*i. Suppose 0 = h*z + b - j, 0*z + 2*z - 5*b = 31. Which is smaller: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21 - 200022121?\nAnswer: -200022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -425 + 416. Let o(p) = 14*p**3 + 1. Let k be o(1). Let j be k\/(-20) + h\/(-12). Solve j = 3*x - 2*c + 4 - 5, -5*x = 5*c - 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 5*n - 6 + 2*n**2 - 5*n. Let l = 55 + -99. Let y = l + 49. Let o(k) = 2*k**2 - 5. What is y*d(u) - 6*o(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -139, 2\/7, 3, -0.5, 4 in increasing order.\nAnswer: -139, -0.5, 2\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/5, 2, 16 in descending order.\nAnswer: 16, 2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.53911 + 0.16089. Let s = 12 + -12.3. What is the nearest to d in s, -0.03, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/140 and -47\/196.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -161\/120 and -57\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000387 rounded to 7 decimal places?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10.09 + 10.49. Which is the second biggest value?  (a) -4\/5  (b) 5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 198 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -5*m**2 - 9*m + 31. Let h(t) = -t**2 - 2*t + 6. Let d(a) = 11*h(a) - 2*y(a). Let b be d(-4). What is the units digit of 14\/4 + b\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 1)*(6 - 7 + 26)*(-2*r + 2*r - 2*r).\nAnswer: 50*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -q + 23299975, -5*q + 2*r + 75289327 = -41210663. Round q to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3232710636 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 955 + -953. Let z(a) be the third derivative of 0 + 0*a + 1\/270*a**6 + 0*a**3 - 1\/1512*a**8 + 0*a**5 + 13*a**c + 0*a**4 - 1\/945*a**7. Factor z(k).\nAnswer: -2*k**3*(k - 1)*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1943*t + 1 + 142227*t**2 - 1943*t - 141801*t**2.\nAnswer: 426*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11 - 4 - 3 + 0*m**2 - 2 - 5*m**2 to u + j*m + x*m**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (0 + -1 + -2 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2060401 and 46991.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**2\/5 - 1786*d + 206448\/5 = 0 for d.\nAnswer: -4488, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = 3*t - 96. Let b = 61 - t. Calculate the highest common divisor of b and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1580 and 1000535?\nAnswer: 4002140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from hvpvvvkvfhvpvzzvvv.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1  (b) 0.3  (c) -2  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 0, 4, 5\/43?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6241, 6339, 6437, 6535, 6633?\nAnswer: 6731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-26) + (-89)\/13. Let m(x) = -x**3 - 3*x**2 + 6*x - 9. Is m(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 49 = -5*x - 89 - 80, -114*x = -4*a + 2500 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b\/b**(-12)*b)*b*b)\/b**(-4\/15))\/(b**(-2\/5))**(2\/11))**(1\/3) assuming b is positive.\nAnswer: b**(-1759\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27009*-0.5.\nAnswer: -13504.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.6?  (a) 1  (b) 2\/13  (c) -0.4  (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -5*n. Let t(o) = o. Let f(k) = q(k) + 4*t(k). Suppose 5 = i + 2*b, -2*i - 2*b + b = -1. Let w(j) = 2*j - 1. What is i*f(y) - w(y)?\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 128 - 324. Let g = 192 + w. Which is the third smallest value?  (a) 3\/4  (b) g  (c) -0.3  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - 17438385882?\nAnswer: -17438385886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 48, 141, 414, 963, 1884, 3273, 5226?\n\"Answer: 16*s**3 - 6*s**2 - s + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -347418 > -347418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-2)*d*d**(-4))\/((d**(-1)*d*d)\/d)**(-37))\/(d**(3\/5)*d*d*d*d**3*d*(d*d*d**(-5)*d*d)\/d**(-2)) assuming d is positive.\nAnswer: d**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6\/(-8)*((-10599)\/9 - -3) is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -38 - 606. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 26817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - 1021?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3055752 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -2*q + 5. Let v(z) be the third derivative of z**4\/24 - 2*z**3\/3 - z**2. Suppose 3*h + h = 16. What is h*v(k) + 3*w(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -290, -1296, -3032, -5504, -8718, -12680, -17396, -22872?\nAnswer: -29114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19943891\/254790 + -28\/14155. Let i = -2755 - -5667\/2. Let c = i + f. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*h + 6*h - 5*h**2)*(4 - 2 - 1)*(-5*h**2 + 0*h**2 + 3*h**2) + (-3*h + 2*h**2 + 3*h)*(-h**2 + 0*h**2 + 2*h**2).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11153 + 185 = -185*x - 729*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cryryykkcryyyyrirc. Give prob of picking 1 i, 1 k, and 1 y.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the third derivative of -5*b**4\/24 + b**3\/6 + 54*b**2. Let g(p) = -10*p + 2. What is 4*g(h) - 9*w(h)?\nAnswer: 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 47394, 94776, 142150, 189516?\nAnswer: 236874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6094 + -6030. Solve -2*p = 0, 3*p = -g*w + 66*w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*9*30\/(-945)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -9*h + 8. Let m(o) be the third derivative of -1\/6*o**3 + 0 + 3*o**h + 0*o - 1\/60*o**5 + 0*o**4. Differentiate m(i) wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 546*t**2 + 0*t**3 - t**3 - 546*t**2.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0145313 centimeters in micrometers?\nAnswer: 145.313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**5*(k**1*k)\/k)\/(k**(5\/3)\/(k**7\/k)) assuming k is positive.\nAnswer: k**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*o**2 + 20369775*o + 197216608 wrt o?\nAnswer: 10*o + 20369775","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2529887182 to the nearest integer?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -17 - 5*h + 7*h - 3*h. Let v be t(-12). Let o(u) = u**2 + 5*u + 2. Determine o(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -18 - -4498336.\nAnswer: 4498318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 30.79 * -131.\nAnswer: -4033.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1008, -4, 3?\nAnswer: 1008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -39\/7 - -110\/21. Let w = -0.0548 + -0.0452. What is the closest to z in -4, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4378346 divided by 49.\nAnswer: -89354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -23253 at least -23250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = -5*p - 22, -28*p = -31*p - 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18*w**2\/11 - 196*w\/11 - 464\/11.\nAnswer: 2*(w + 2)*(9*w - 116)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z + 13. Let b = -30 + 19. Determine i(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (175\/2200)\/(28\/16)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 11873*u - 34899 wrt u?\nAnswer: 11873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f**3 - 4168070*f + 0*f**3 - 2*f**3 + 4168070*f.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -37225789, -74451575, -111677361?\nAnswer: -148903147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11430147?\nAnswer: 3, 29, 131381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5394, -5397, -5400?\nAnswer: -5403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 25 - 26. Sort 1, t, 2 in descending order.\nAnswer: 2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -33 + 98\/3. Let n = -10 + 14. Sort u, n, 4\/7 in increasing order.\nAnswer: u, 4\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -162113*p - 3*p**2 + 324228*p - 162115*p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12390 and 81420.\nAnswer: 569940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/4)\/(3\/3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h**2 - h**2 - h**2)*(-254*h**2 - 3 + 1 + 131*h**2)*(-2*h + 3*h - 2*h).\nAnswer: 123*h**5 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v**3 + v**3 + v**3)*(-2 + 2 - v).\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3, -2, -1689 in ascending order.\nAnswer: -1689, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10980\/500 - 22)\/((-6)\/(-45)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 223*g**4 - 6*g**2 - 1 wrt g?\nAnswer: 5352*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 + 3*w**2 + 10*w - 4. Let c be (-70)\/(-22) - (-2)\/(-11). Suppose -221 - 4 = -c*j. What is the remainder when j is divided by x(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -6*j + 14. Let r be u(2). Suppose -r*c + 116 = 2*q, 252 = 4*q - 0*q - c. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, g: 3, a: 1, m: 1}. Give prob of picking 2 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = -20*b + 21*b + 24, 0 = -4*h + 2*b + 18 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**6*((y*y\/(y\/(y\/y**(-3\/5)*y)))\/y)\/y*y)\/(y\/(((y\/(y*y*y\/(y**2*y)*y)*y)\/y)\/y)*y*y\/(y**6\/y)) assuming y is positive.\nAnswer: y**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 203*i + 39650 = 205*i, -3*j - 3*i = -29748. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 5. Let k(m) = 6*m**3 + 2*m**2 - 1. Let c be k(o). What is the highest common factor of 77 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 270 smaller than 267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 46 = 46. Let -2*j**4 - 2*j**3 - 2\/3*j**2 + p + 0*j - 2\/3*j**5 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -6277, -5, 2\/3, 4\/7.\nAnswer: -6277, -5, 4\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from {h: 1, j: 1, x: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3872351064?\nAnswer: 2, 3, 887, 181903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 - 2. Let x be a(-2). Suppose -r + 1 = x. Let k(q) = -31*q - 1. Calculate the remainder when k(r) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9512373 divided by -3170791.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 840 and 11928.\nAnswer: 59640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-22)*(w**22*w)\/w)\/(w*w\/((w**(-37)\/w)\/w)*w*w*w*w**10\/w) assuming w is positive.\nAnswer: w**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2127 is divided by 995.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z - 4. Let v be n(6). Let h be v\/2 + -1 + 5. Suppose 2*w = h*w - 18. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -137, 4, -45, -11, 26 in descending order.\nAnswer: 26, 4, 2, -11, -45, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 54*b + 67. Suppose 17*m - 33 = r + 21*m, -12 = -4*r + 2*m. Determine f(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l. Let i be (2 - (-2)\/(-6))\/(6\/18). Let r(t) = -6*t + 0*t + i*t. Calculate p(r(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 13*s**2 + 17*s + 41. Let w(r) = 4*r**2 + 6*r + 14. What is 6*t(x) - 17*w(x)?\nAnswer: 10*x**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the second derivative of -11*f**8\/8 - f**4\/6 + 2*f**2 - 70*f. What is the third derivative of b(i) wrt i?\nAnswer: -9240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 3*d - 17*v + 21*v, d + 5*v = -2. Sort -38, 4, d.\nAnswer: -38, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, 2.983893, -203?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 210823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 6, -2, -0.003, 2\/3?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 7*z + 25. Let d be u(-4). Let a(l) = -l**3 + 2*l**2 + 2*l - 2. Let n be a(2). Let g = n - 5. Is g at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 2 + 0)*(2*m**3 + 5*m**3 - 3*m**3) + 44*m**2 + 78*m**3 - 79*m**3 + 103*m - 105*m in the form d*m**2 + x*m + y + z*m**3 and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1634, 20131, 70342, 168125, 329338, 569839, 905486, 1352137?\nAnswer: 1925650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.05  (b) 4  (c) 1\/2  (d) 0.4  (e) -23  (f) 4\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 2*i - 30 = n, 4*i + 5*n - 21 = 0. Suppose -2*j + 18 = 3*w, 4*j - 3 = i. Calculate the greatest common divisor of w and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 35*n + 2. Is a(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -2*n - 6. Calculate the remainder when ((-7)\/(-3))\/(n\/(-18)) is divided by (-28)\/(-2) + (0 - -2) + -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 6 = 1551*j - 1553*j, 0 = 3*j + n + 19 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -69 - -68.9721. Let y = w + 0.4279. Let i be (-2)\/6 - (-5)\/(-3). What is the closest to -2\/13 in -5, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*n - 115 = 63*n + 23*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.043 + -277553333687\nAnswer: -277553333687.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bgdddgd. Give prob of sequence gdg.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 + 29*s - 78. Let h be m(18). Let f = -57 + 105. What is the greatest common divisor of h and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yvvvyfvvyfvvyvvvfc. What is prob of sequence yfyc?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1326107 is divided by 331519.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j**(-3))*j\/((j**(4\/9)\/j*j)\/j))\/(j**(-3)\/j**(-4\/5)))\/(j*j**(-2\/5)*(j\/j**5*j)\/j)**(2\/11) assuming j is positive.\nAnswer: j**(730\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 107 + -53. What is the least common multiple of d and (573\/(-12))\/(-1) - (-1)\/4?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 + 42. Calculate the remainder when d is divided by 2820\/150 + -18 - (-86)\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 + (-180)\/28)\/(17\/((-1309)\/22)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 17477 and 2?\nAnswer: 34954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*4\/(-16)*1*-10. Suppose -3*a = d*u - 15, -51*a + 53*a - 8 = -4*u. Solve 4*t - l + 6 = -0, 0 = -t - 4*l - a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2830 + -336?\nAnswer: 24fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10208 and 3874574.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*o**3 + 7*o**3 - 5*o**3 + (2*o**2 + 2*o**2 - 2*o**2)*(-1 + 10*o - 21*o + 7*o) in the form a*o**3 + n*o + x*o**2 + z and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 14\/9 in 1\/10, -1\/4, -3\/4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2653686 and 420?\nAnswer: 26536860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 12*q**3. Let l be z(-1). Let v = l - -20. Let u = v + -3. Solve -3*p + 6*f = 3*f - 3, u*p - 2*f = 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12134.6525 less than 0.08?\nAnswer: -12134.5725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12616 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 + 4*l**2 - 5*l + 4. Let y(j) be the third derivative of -j**4\/24 + j**3\/3 + 3*j**2. Let t be y(1). Let u be 1\/1 + t - -1. What is i(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4243138747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45887.\nAnswer: 45887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * -141.03.\nAnswer: 141.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3105365um to millimeters.\nAnswer: 0.0003105365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2 - 5*s - 3. Let a be r(6). Suppose a*z + 14 = m, 4 = -5*z - 1. Suppose -2*w + 5*d + 18 = 5, 0 = 2*w - 3*d - m. Solve 6 = v + w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.4 and 35.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2622 and 228.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -q - 5*t, -2*q + 3*q + 10 = 4*t. Let g(l) = 0 + 3*l - q + 2*l. Let z be g(2). Solve -4*a + z = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.4, -3\/8, 20, -4\/13, 0.18, 0.5, 17\/5?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -174415328*s**2 + 268083259*s wrt s?\nAnswer: -348830656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5*6)\/(-10 + 9). Let u be (a\/(-45))\/(2\/9). Let z be 250\/200 + (-6)\/(-8). Put z, u, -11 in increasing order.\nAnswer: -11, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 129.74604 months to years.\nAnswer: 10.81217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jkkk when four letters picked without replacement from {j: 12, k: 7}?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.8 in -10, 5, -1\/16, -9, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*o + 13*o + 2. Let h(c) be the first derivative of 0*c + 2\/3*c**3 - c**o - 3. What is the second derivative of h(a) wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-137))\/(219*(-93)\/(-40734)).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -2*l - 124, -2*c - 54 = -0*l + l. Let w = l - -128. Suppose 2*j + 6 = w. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -50 + 67?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the second derivative of v**3\/2 + 13*v. Let b(p) = 12*p + 13*p - 42*p + 11*p. Calculate b(x(c)).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of t**5\/40 + t**4\/2 - 5*t**3 - 33*t**2 + 65. Let a(p) be the second derivative of j(p). Factor a(q).\nAnswer: 3*(q - 2)*(q + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 5*u - 7250 = 0, 0 = 2*u + 2*u. Let q = s + -374. What are the prime factors of q?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.08 + -60.58. Let o = k + 60. What is the smallest value in -61, o, -1?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 107325, 429325, 966005, 1717377, 2683453, 3864245?\n\"Answer: 2*c**3 + 107328*c**2 + 2*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 73.982 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*v - 5406 = -1677. Let u(d) = 117*d + 8. Let c(l) = 9944*l + 678. Let z(g) = v*u(g) - 4*c(g). Let w(s) = 2*s**2. What is w(z(r))?\nAnswer: 25538*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -205506 divided by -294\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-12 - -13)\/((6 - 81\/15)\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9 - -95b21?\nAnswer: 95b15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 657 + -650. List the prime factors of (-38)\/5 + j - 3543\/(-5).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17 (base 9) to base 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 69203579*h**3 - 13*h**2 + 3464*h + 44 wrt h?\nAnswer: 415221474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8640 and 24624.\nAnswer: 492480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -275*v = -1552 - 3393 - 5 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -423 - -429. Suppose -28 = -o*y - y. Which is the closest to -0.1?  (a) 3  (b) -2\/231  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12730, 4, 14, 0 in decreasing order.\nAnswer: 12730, 14, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 656963759 to the nearest integer?\nAnswer: 25631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 89953330997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 49 and 89670.\nAnswer: 89670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 65 + 85. Let g be 4\/(-26) + (j\/130 - 1). Solve 5*o = 2*r + 17, 5*o - 29 = -r - g*r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-95)\/25 + 4 - (-1248)\/(-15). Let f = 85 + c. Solve -3*y - 2*y = 5*q + 15, 0 = -2*q - f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2)\/(-3)*-1)\/(1\/(-3)). Let m(j) = -24 + 2*j - 5*j**u + 5 - 79*j**3 + 78*j**3. Calculate the smallest common multiple of 2 and m(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 11 = f, -70 = -4*f + 4*j + 14. Suppose 0 = -4*u - 16, -7*w + 2*u + f = -5*w. Are w and 4 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1290 - 1275.5. What is the nearest to 2\/3 in r, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126601443173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 221 - 217. Let u(r) = 5*r + 5. Let h(f) = 6*f + 6. Let g = -3 - 0. Give g*h(d) + q*u(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 54346.38ml in litres?\nAnswer: 54.34638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -4*x + 15. Suppose -o = -4*o - q, -18 = x*o - 5*q. Which is the nearest to o?  (a) 3  (b) -0.4  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -2*v. Let a(c) be the third derivative of -c**5\/15 + 91*c**4\/6 - c**3\/6 - 24*c**2 - c - 17. Give a(l(p)).\nAnswer: -16*p**2 - 728*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -2, -3, 4 in decreasing order.\nAnswer: 7, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 45 divided by 4460411\nAnswer: 45\/4460411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3440948541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 - (-5 - -12) - -5230 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 350 + -48. Suppose i + 193 + 368 = 3*p, 2*p = 2*i + 374. Let r = z - p. What is the remainder when r is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -108.242665 - -1.\nAnswer: -107.242665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j + 12. Let x be y(10). Let h be (11\/2 + -3)*x. Is h at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102310 (base 4) in base 2?\nAnswer: 10010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -5*r**3 + r**2 + r + 1. Let u be d(-1). Is 19 a factor of (u\/5)\/(18\/1485)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9106.63ug to tonnes.\nAnswer: 0.00000000910663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -97 + 100. Solve c*f = 11 - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 0 - 2\/7*c**4 + 0*c - 4*c**2 + 30\/7*c**3 = 0.\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 2*h**3 - 2399*h**2 + 4*h + 4. Let k(a) = 4*a**3 - 4801*a**2 + 9*a + 9. Let d(y) = -4*k(y) + 9*q(y). What is the third derivative of d(u) wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes before 2:48 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6589692 by 6.\nAnswer: 1098282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 129*y - 269. Let i(h) = -64*h + 137. Let u(k) = -9*i(k) - 4*v(k). Is u(4) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 16\/7 and 137\/62900.\nAnswer: 440300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*q = -44 + 188 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**2 - 85*r + 930. Give y(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 16.444673 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 - -10. Suppose 2*k = 2*d + l*d - 2, 4*k = d + 10. Is 6 a factor of 2\/k - 32\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*y + 3*y. What is the greatest common divisor of 12 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21078582.\nAnswer: 2, 3, 7, 89, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 200327.\nAnswer: 163, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ek when two letters picked without replacement from ttket?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*1*sqrt(28)*-6)\/(-4*(sqrt(4)*2 + sqrt(4)) - (-5*sqrt(4)*2 + sqrt(4))).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 317 (base 11) to base 10.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -8953094*c**2 + 16832775 wrt c?\nAnswer: -17906188*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -76*c**2*g**3*m**3 + c**2*m**3 - 2*c*g**3*m**3 + c*g**3*m + 4*g**3*m**3 - 5*g**2*m wrt c.\nAnswer: -152*g**3*m**3 + 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 28684.645 to the nearest ten.\nAnswer: 28680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 590678, 590677, 590674, 590669, 590662, 590653?\nAnswer: 590642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*n**3\/9 - 146479852*n**2\/9 - 103155531526240*n\/9 - 7935038286400\/3 = 0. Calculate n.\nAnswer: -1408460, -3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 + 15 - (-13 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -442744.167 rounded to the nearest 10?\nAnswer: -442740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (29 + (-4572)\/156)\/(1\/1).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05398 take away 32?\nAnswer: -31.94602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 4*p - 4 = 0. Solve 6 = -4*a + p*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u - 3. Let j be q(-7). Suppose m - j*m = -21. Let w be ((-168)\/(-49))\/(2\/m). Calculate the highest common factor of 60 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102304420409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(3 + (-4*-1*sqrt(99) - (1 + (-1*sqrt(99))**2 + sqrt(99))))*-2 + -5.\nAnswer: -18*sqrt(11) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 73\/51145 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*r**2 + 2*r**4 - 53*r**3 + 552 + 2*r - 3*r + 4*r**2 - 4*r**2 - 554 in the form p + y*r**2 + z*r**3 + f*r**4 + x*r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-1128)\/16)\/(3\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 379034 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7061?\nAnswer: 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 880 and 8030?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**2 + 8*g + 5. Give i(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*v + 5*v - 1 + 6*v**2 + v**3 - 9*v in the form i*v**2 + r*v**3 + h*v + q and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*c - 23*c - 63. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 1 + 13 = 0. Suppose -5*u + m*u = -4. Calculate the smallest common multiple of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = p, -5*x + 27 = -2*p + 103. Suppose 14*z - 26*z - 156 = 0. Which is bigger: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*j**2 - 1583*j**4 + 1584*j**4 - 8*j + 14*j**3 + 12*j to s*j**3 + h*j**4 + m + b*j**2 + o*j and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/5  (b) 5  (c) -0.2  (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 8*q**3 - 3*q + 2. Give v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of -4*l + 5\/2*l**2 + 1 - 1\/3*l**3. Let p(q) = 0. Calculate q.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 492294 and 231?\nAnswer: 3446058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15592549 is divided by 15592489?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -224, -0.48?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 74*w**2 - 234*w - 4192. Does 158 divide s(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 4*c + 30. Let p be o(24). Let s be p\/(-7) - (-1 + -4). Is -12 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 307044 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 575166749 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -22\/399 and -56\/57.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -233*n**2 + 1. Let w(k) = 2*k**2 - 40. What is w(x(a))?\nAnswer: 108578*a**4 - 932*a**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 342 and 3932886?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13315?\nAnswer: 5, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 28 - -1?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 58624 and 1152.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-9)*-9*(-6)\/(-1044)\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5563, -4, 67, -2, 0, 8.\nAnswer: -5, -4, -2, 0, 8, 67, 5563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r + 14. What is the least common multiple of 39 and a(-3)?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1*(-2 + -192744 - 3). Suppose 474000 = -w + g. Let u be (1 + w)*(-16)\/(-3). Round u to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-5)\/2)\/(1\/(-2)). Let q be (6 + -33 + 6)*(-2)\/6. Suppose -5*h = 3*w - 9, -2*w - a*h = -q*w - 25. Let f(y) = 2*y + 1. Determine f(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express h - h**2 - 1003554 + 0*h**2 - 5*h**3 + 1003706 + 4*h**3 in the form j*h**3 + p*h + g*h**2 + v and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 212 and 7526?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 148*n**2 + 5*n + 10. Let v be a(-2). What is the greatest common factor of 37 and v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/5586 and 47\/27930?\nAnswer: 27930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is s in s**4 - 7*s**3 - 87*s**2 - 149*s - 70 = 0?\nAnswer: -5, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23 + 24.8. Let k = l - 0.8. What is the second smallest value in -0.1, -3\/5, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.27 times 0.035\nAnswer: 0.07945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 7:04 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1118 by 43.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1223 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d - d**3 + d)*((-1 - 5 + 4)*(d**2 + d**2 - 3*d**2) - 10*d**2 - 15*d**2 + 8*d**2)*(-88 + 473 + 1917 - 33).\nAnswer: 34035*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 16\/9 - 6\/(-27). Suppose -k - 12 = x*k, 0 = j + 4*k + 11. Let m be ((-3)\/(-2))\/((-24)\/(-400)). Solve -j*c - m = -5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*(3 + -4) + -9. Let w = n - -16. Differentiate -2 - w*g**2 + 6*g**2 + g**3 wrt g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.2849365 decades?\nAnswer: 34.19238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35*o**3 - 1 + 8 - 5835*o**4 + 2*o + 5837*o**4 + o to the form n*o + x*o**4 + v*o**3 + d + k*o**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16605 + 17053. Let g = -1 - -15. Calculate the highest common divisor of g and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -5*h + 12. Determine s(10).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -97286  (c) 0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 46.01 + 1.09. Let g = 9.1 - y. Let l = g - -38. What is the third biggest value in 1\/7, 2\/15, l, 0.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 PM and 4:45 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/2*t**2 + 2332*t + 2719112.\nAnswer: (t + 2332)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 381624 divided by 6\nAnswer: 63604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the first derivative of z**5\/10 + z**4\/4 - z**3\/6 - z**2 + 85*z - 143. Let b(p) be the first derivative of v(p). Calculate b(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 214.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 129520907749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.3 - -0.1. Let l = 2.8 - a. Let v = -4.9 - -5. Is l at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80 + (7 - (75 - -19))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/((-12)\/4)*1. Let m be (2 - o)\/((-1)\/(-8)). Suppose 4*b - 16 = -2*l + 4, -2*l + 5*b - m = 0. Calculate the least common multiple of l and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-285 - (205 - 397)) + (-40)\/(4\/(-2))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, -1.4, 3, -6 in increasing order.\nAnswer: -6, -1.4, -2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 791965235 to the nearest integer?\nAnswer: 28142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -16*p**2 - 6*p - 6. What is z(-2)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-17*w + 17*w + 7*w**2)*(-2 + 1 + 0)*(4*w + 0*w - w) as v*w + s*w**3 + d*w**2 + y and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 62*((-129)\/66 + 2) and -35\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 469 is divided by 121?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 277551829?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwwitwtgw. What is prob of sequence iw?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 8, -14, -52, -106, -176?\n\"Answer: -8*g**2 + 2*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 - -10.68. Let g = 0.68 - l. What is the second biggest value in -0.4, -2\/9, -2, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -645 - -665. Calculate the highest common factor of 80 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 110 = 3*a. Let t = a + -19. Suppose t*y - 28 = -y. Solve 17 = -3*x + u, -2*u = -y*x + 2*x - 29 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 9, 1, -2\/5, 0.07 in increasing order.\nAnswer: -2, -2\/5, 0.07, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 187 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22 - -24. Solve 4*i + b*g - 10 = 0, 5*i = -6*g + 2*g + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 64872283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is 12403442401 (base 5) in base 11?\nAnswer: 86a8621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < -14\/4127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 135093, 540369, 1215829, 2161473?\n\"Answer: 135092*q**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2740 (base 8) in base 2?\nAnswer: -10111100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1166.6 and 0.4.\nAnswer: -466.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z**(-30)*z\/(z**(-20)\/z) assuming z is positive.\nAnswer: z**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -272*x - 104*x + 46*x in the form v*x + m and give v.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 100 (base 2) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 399 and 2302287?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12113 - -12046.749. Round s to 1 decimal place.\nAnswer: -66.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 9*z - 12 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -23105, -77582, -168377, -295490, -458921, -658670?\n\"Answer: -18159*l**2 - 4946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-407 - 2*j**3 + 356 + 37*j - 33*j)*(-14*j - 5*j + 0*j).\nAnswer: 38*j**4 - 76*j**2 + 969*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1093 + -1085. Solve z + 13 = v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 960\/(-48) + 0*(-2)\/(-4). Let g(i) = 5*i + 26. Let j be g(r). Let o be -1 + j\/(-60) + (-16)\/(-96). Are o and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:00 PM and 6:52 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 17533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14175 + 14651 = -34*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 41, 196, -4, 3, -1, -5 in decreasing order.\nAnswer: 196, 41, 4, 3, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -278 - -471. Let z = -693 + o. Round z to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -306*r + 13. What is the hundreds digit of m(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 842217241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 2964822 + 971337 = -3*h, -398710 = o + 2*h. What is o rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19284, -19282, -19280, -19278?\nAnswer: -19276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -1 + sqrt(208) + sqrt(13).\nAnswer: -6 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50466111.\nAnswer: 3, 16822037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 17226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -131179\/20 + 6559. Let u(k) be the first derivative of 3\/8*k**4 - 13\/12*k**3 + 11 + 3\/2*k**2 - s*k**5 - k. Let u(m) = 0. What is m?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of c**3\/6 + 103*c + 301. Let a(p) be the first derivative of d(p). Let l(m) = 3*m - 1. Calculate -2*a(f) + l(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6 + 0)\/(-12)*3*2. Suppose -3*g = 0, -2*o + 55362 = -g - 84620. Suppose -5*m + 4*i = i - o, -i = -r. Round m to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*h**6 + 57*h**5 - 22*h**2 - 1.\nAnswer: 360*h**3 + 3420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = 4*i + i. Solve 0 = 7*o - i*o + 21 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes after 12:02 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3494, -3493, -3474, -3431, -3358, -3249, -3098, -2899?\nAnswer: -2646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3003934 divided by -1501967?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((20\/8)\/5)\/((-2)\/(-6))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 343 - 341. Solve -3*x + g*z = -2*z - 2, -z - 8 = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o - 2. Let z = -15 - -22. Determine j(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.09 + 0.28. Let o = -8.19 + r. Let z = 7.99988 + o. Round z to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5\/6, -2\/15, 1.092403 in decreasing order.\nAnswer: 1.092403, 1, -2\/15, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -2*x**3 + 32*x**2 + 36*x - 304. Calculate b(16).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + (3 - -10) - 20.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -20178.4767 - -20170. Round d to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the second derivative of 7\/12*z**4 + 1\/20*z**5 - 17*z - 2*z**2 + 0 + 5\/6*z**3. Suppose 2*g - 22 = -v + 3*v, -2*g - 14 = 4*v. Determine s(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(1\/7)*m*m\/(m\/(m**(-5\/3)*m)) assuming m is positive.\nAnswer: m**(10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 1673*m**3 + 2*m**2 - 2*m + 2. Let y be c(1). What is the highest common divisor of y and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -5 - 4) + 5 - (0 + 11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.137 times 12921?\nAnswer: -53454.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -4*35\/56*8\/5. What is the third smallest value in 1\/4, -5\/68, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 6  (b) 2  (c) -0.3  (d) 36\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20499 is divided by 105.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -8. Let n(c) = 212*c - 17. Calculate -n(m) + 2*x(m).\nAnswer: -212*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5.2 - 4.914. Let q = -0.286000321 + b. What is q rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the third derivative of g**6\/120 + 7*g**5\/60 - 3*g**4\/8 - 4*g**2. Let f be w(-8). Suppose 8 = 2*h - f. Solve 2*x = 2 + h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1243 + 1968. Let f = n - 533. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -21 - -109. What is the highest common factor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 50 + 10. Suppose 3*v + v = s. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*u**3 - 3*u**2 + 3*u - 2*u**3 - 2*u as k*u**3 + a + g*u**2 + h*u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the second derivative of r**6\/48 - 7*r**4\/3 + 12*r. Let g(w) be the third derivative of d(w). Let k(m) = 5*m. Determine k(g(b)).\nAnswer: 75*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2*15196\/(-176)*-30. Let c = x - -5177. Calculate the common denominator of c and 47\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j + 0*j + j)*(33 - 57 + 38).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 46288785 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 120641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qvfln. Give prob of picking 1 q and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(6\/9*-1). Suppose -6*j + 33600 = -l*j. What is j rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 48 + -53. Let r = 4.164 + 0.036. Let g = r + -4. What is the third smallest value in -0.2, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 159952364 is divided by 1786.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25927.8ml to litres.\nAnswer: 25.9278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n**13\/n*n)\/n)\/n*n)\/(n\/(n*n**4)))**(-15\/7) assuming n is positive.\nAnswer: n**(-240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -23 in -2, 22, 8, 4, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 15*l + 4. Let y(x) = -15*x - 5. Let u(c) = 7*p(c) + 6*y(c). Let s(w) = w + 1. Give 2*s(r) + u(r).\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79470730.\nAnswer: 2, 5, 19, 29, 14423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -268.6 + -96008.177.\nAnswer: -96276.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1404 - -3?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 196*m. Let q(k) = -132*k**2. Determine q(a(i)).\nAnswer: -5070912*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 158 - 149. Calculate the lowest common multiple of f and 102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*w + 3*w - 6*w - 17*w in the form z + h*w and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -48, -200, -448, -792, -1232?\n\"Answer: -48*j**2 - 8*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 32027038 + -2539.\nAnswer: 32024499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 567 + 708 + 709 - 3*t - t + 196 - 2180.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 3*j - 97*j + 108 + 82 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -8*j**2. Let s(z) = 3*z**2 - 494. Calculate s(d(b)).\nAnswer: 192*b**4 - 494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 5*v + 2876 = 0, -2*k = 3*v - 8*v - 1959. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9e0 (base 16) to base 12.\nAnswer: -1568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-1360)\/(-1275))\/(4\/(-6))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 83, 64, 51, 44, 43?\n\"Answer: 3*p**2 - 28*p + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 38 - 34. Solve -4*b + 17 + 1 = k, 2*k + 12 = x*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(30\/38) + -7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4782 + 1249 + 2310)*(-1 - 2*l + 1) in the form c + g*l and give g.\nAnswer: 2446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Do -171001986 and -171001989 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 105 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 121 in 10, 1, 0.2, -1\/4, 5\/41?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*1*(sqrt(242) + sqrt(242)*-2 + 5))**2 + ((sqrt(720)*2)\/sqrt(10) - (sqrt(50) + -1*sqrt(800))**2).\nAnswer: -428*sqrt(2) + 618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/4462 and 3\/16.\nAnswer: 35696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - 112?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (64\/2)\/(-4)*1. Let g be (1*-1)\/(4\/z). Solve 3*n + n = -h + 14, -4*n = -5*h - g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -70 - (-63 - (71 + -28)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1\/4)\/c*c)**(10\/7)\/(c**(-2\/3)\/(c**2*c)))**(-1) assuming c is positive.\nAnswer: c**(-139\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together 316 and 697846.\nAnswer: 698162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18 + 23. Let g = -21.9 + 21. Let w = 1 + g. Sort w, s, 2\/5 in increasing order.\nAnswer: w, 2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1719 or -1722?\nAnswer: -1722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 2*x + 6 = 0, -2*x = -5*n + 3*x - 15. Let z be 28\/(-21)*19\/(-38). Let z*a**2 + n*a + 0 = 0. What is a?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1660861059.\nAnswer: 3, 11, 13, 29, 133499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2879 + -1997. Let y = 1394496863 - 1394495980.9999637. Let c = y - u. What is c rounded to 6 dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -8, -2*a + 1618 = 4*x + 334. Solve 6*u + x = -40*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = -5*z - 4*x - 135, -5*z - 68*x + 61*x = 175 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 403 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 7*b = 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1947 = 548*a - 1660 + 867 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -32599 - 5*w**2 + 32599. Let o(p) = -4*p + 50. Calculate o(d(s)).\nAnswer: 20*s**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1523.071*-0.2\nAnswer: -304.6142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2*q**3 - 2*q**2 + 3*q + 2. Let n be a(-2). Suppose 4*i - 8*i = -3*c + 81, 0 = n*c + i - 89. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -33, 3, 17, -166, -5, -66 in descending order.\nAnswer: 17, 3, -2, -5, -33, -66, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(704))*1 - (sqrt(704) - (-3 + -4 + sqrt(704) + sqrt(704)))**2.\nAnswer: -753 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1639 or 1520?\nAnswer: 1520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -i**3 + 50080*i**2 - 250381*i + 300450 = 0.\nAnswer: 2, 3, 50075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0*-3*4\/12. Let m(i) be the second derivative of -1\/9*i**3 + 0 + 1\/9*i**4 + z*i**2 - 2*i - 1\/30*i**5. Solve m(u) = 0 for u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of 0*y**2 + 10*y + 0 - 1\/3*y**3 + 1\/40*y**5 - 1\/8*y**4. Let z(f) be the second derivative of u(f). Differentiate z(i) wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42266 is divided by 222?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 0) + 7 + (-19 - (-891)\/132)\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 639555*b**2*p**3 + 8*b*p**3 + 928*b*p**2 + 29 wrt b.\nAnswer: 1279110*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 4*q + 21 = -75, 0 = -2*t + 2*q - 42. Which is the second biggest value?  (a) -0.4  (b) 2\/11  (c) -4  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 16\/(-36) - (-80)\/18. Solve x*y + 5 = 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4909 - -5142. Suppose 0 = 2*r, -1428 = -4*m - 0*r - 2*r. Let q = m - l. What are the prime factors of q?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14*(-2)\/(-4))\/(43850\/(-2900) - -15).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*f**5 - 27*f**5 - 159*f**5 + (3*f**2 + 2*f**2 - 3*f**2)*(-3*f**3 + 2*f**3 + 2*f**3) + (-f**3 + 4 - 4)*(0*f - f**2 + 0*f).\nAnswer: -189*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*k - 87*k = -30 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/5*(-4 + 10\/2). Which is the closest to -6\/11?  (a) g  (b) 1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -9 - (21 - 5 - (-56 - -81))) + -7\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 32 + b**2 - 7*b - 2*b**2 - 21. Let o be j(-8). Solve l = g, o*l + 2*g = 6*l - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 18. Let t(d) = -f*d + 6 - 16*d**2 - 3*d**3 + 2*d**3 - 9 + 7*d**2. Give t(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(891) - (5 + sqrt(891)*-4) - (sqrt(891) + ((sqrt(891)*5 + sqrt(891))*-6 - sqrt(891))) - (5 + -5 + 1*sqrt(891))*3)**2.\nAnswer: -3420*sqrt(11) + 1286629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2990 is divided by 40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8112025 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -2*c - 1. Let j be t(-2). Suppose o + 2 - 5 = 0. Let f(x) = -2*x - 7 + 3*x**3 + 3*x**3 + 11 - 7*x**o + 4*x**2. Calculate f(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 1\/9  (b) 7  (c) -1\/3  (d) -0.2  (e) -14  (f) -2165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 4 - 32 = 0. Solve -2*l = 2*o + 8 + 2, 4*l = -c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -4*c**3 - 28*c**2 - 5*c - 59. Let h(b) = b**3 + b + 1. Calculate g(n) + 3*h(n).\nAnswer: -n**3 - 28*n**2 - 2*n - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -609, -608, -607?\n\"Answer: c - 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -43, -0.4, -2, -3, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**3 - 6*v**2 - v + 8. Let b be j(6). Let c(t) = 6 - t**3 - 3 + t**2 + t**2 - 2*t. What is c(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the third derivative of 0 + 0*w + 1\/24*w**4 + 0*w**3 - 100*w**2. Let q(r) = -8*r - 1. What is v(q(c))?\nAnswer: -8*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hyz when three letters picked without replacement from {h: 3, i: 4, z: 7, y: 4}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 + -8. Calculate the remainder when (12 - a) + 2 + 1 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 + 4 = -3*a. Let w be ((-4)\/(-5))\/((-28)\/3710). Let q = a - w. List the prime factors of q.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -8*k - 6. Determine d(4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mx when two letters picked without replacement from {m: 4, x: 4, n: 4, k: 2, r: 4, y: 2}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12 - 12.5. Let k = -2.5 - u. Which is smaller: -2\/3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k + 4. Let c be v(-6). Let m(p) = p**2 + 13*p + 45. Let z be m(-7). Find the first derivative of -30 + 30 + c*x**z + 13 wrt x.\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1*(0 + -3)\/3. Let t be d\/(-1) - 1*-2. Find the third derivative of -f**2 - 3*f**6 + t*f**6 + f**6 wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from arrraraarrrrrr. What is prob of sequence rr?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {g: 3, m: 12}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01391 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16848 + 16857. Solve s*q = -61 + 16 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffztttnntfftffnf. Give prob of sequence nfn.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16 + 33. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -40*y. Let s be a(-3). What is the highest common divisor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 824, 3305, 7444, 13241, 20696?\n\"Answer: 829*r**2 - 6*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 286*w**2 + 1.\nAnswer: -286*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 28*d**2\/9 - 3476*d\/9 + 496\/9.\nAnswer: 4*(d - 124)*(7*d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 126 or 127?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the second derivative of h**5\/20 - 7*h**4\/6 - 4*h**3 - h + 67. What is the second derivative of b(f) wrt f?\nAnswer: 6*f - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h. Let y(p) = -516*p**2 + 16790. Calculate s(y(x)).\nAnswer: 516*x**2 - 16790","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -132 + -10?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -13180 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -13b (base 12) to base 4\nAnswer: -2333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-231)\/110)\/(24\/(-20)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.838 less than -0.560755?\nAnswer: -3.398755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-1\/4)*i)**(-8)*((i\/(i\/i**(-1\/7)))\/i*i)\/((i*i**(-8))\/i) assuming i is positive.\nAnswer: i**(-43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**3\/2 + 8863*q**2\/2 - 9816880*q - 9821312.\nAnswer: -(q - 4432)**2*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 36 = 2*n. Suppose -20*v + 31*v = 66. Suppose v + 21 = n*l. Solve -3*i = o + 7, i + 8*o + 21 = l*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l**3 + 0*l**3 + 2*l**3 + 3*l**3 + 2*l**3 - 4*l**3 + (-1 - 2*l**2 + 1)*(0*l + l + 2*l) + (-2*l + 1 - 1)*(-4*l + 4*l - 2*l**2).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n + 2*n + n)*(-58 - 16 + 32).\nAnswer: -42*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 2 + 3*f - 8 + (1 - 4 + 2)*(3*f - 3*f - f) as m*f + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 - (12 + 0 + -7). What is the remainder when -2*h\/35 + (-1076)\/(-10) is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (9*(-2)\/(-6))\/(14\/966). Suppose 0 - 5 = -r. Let g be 90\/4 + r\/10. What is the greatest common divisor of g and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/35 and -19\/2830?\nAnswer: 19810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 2*q - 4. Let o be t(4). Suppose -10 = -0*u - 2*u, -3*h - o*u + 407 = 0. Let p = h + -12. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 + 13 = 2*v. Suppose -2*d - 6 = 0, d = -0*f - 3*f + 6. Calculate the greatest common factor of f and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*r = 11*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/(-76))\/(58\/(-1653))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 42294205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (1 - 0) + 72\/105 and 130\/(-180)*(6 + -7 - (-30)\/50).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/(-5 - -2))\/1. Let h be b + 8\/(-5) + 2. Let q = 24094 - 24099. What is the third smallest value in q, 8, h?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the second derivative of 15*x**4\/4 + x**3 + 3*x. Factor g(p).\nAnswer: 3*p*(15*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2526, -27, 0, 0.1?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 121021202 + 1012220?\nAnswer: 122111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 245 = -y, 3*y - 988 = -y - 4*q. Suppose -v + y = 7*v. Let l = v + -25. Calculate the highest common factor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.3 and -185864?\nAnswer: 185863.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {o: 4, y: 4, j: 1, f: 2, g: 4, k: 4}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47094 is divided by 1956?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18589 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -5*j**4 - 5*j**3 - 3*j**2 + 5*j - 4. Suppose 2*c = 5*c - 12. Let p(i) = 6*i**4 + 6*i**3 + 4*i**2 - 6*i + 5. Let u(a) = c*p(a) + 5*q(a). Factor u(b).\nAnswer: -b*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9464 * 8877.\nAnswer: 84011928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - -2. Let y(u) = 5*u**2 - u**a + u**2. Let b(m) be the first derivative of -m**2\/2 + 1. Calculate y(b(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 592566380 divided by 148141595?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6\/65395 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2905 divided by -4\nAnswer: 2905\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.98644099 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -119 (base 14) to base 13.\nAnswer: -13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, s: 8, i: 4}. Give prob of sequence sv.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*y - 4 = 2*k + 9*y, 3*k + 2*y = 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*0.7.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1888.7 times -0.3?\nAnswer: -566.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from {a: 10, n: 1, q: 2, j: 7}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 (base 10) in base 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 49\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -d + 3*d. Let q = d + 25. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 391287148?\nAnswer: 2, 7, 1996363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 - 5*v**2 + 6. Let t = 58 - 51. What is the least common multiple of t and a(-5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, h: 8, w: 1}. Give prob of picking 2 z.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 33 - 32.982. Let z = v + 0.082. Which is the nearest to -6?  (a) 3\/5  (b) z  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*z - 42 = 21*o + 40*z, 4*o - 5*z + 27 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/2146392022 or 0?\nAnswer: 1\/2146392022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.41834l in millilitres?\nAnswer: 10418.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of 0 - 9*l**2 + 0*l**3 + 1\/24*l**4 + 0*l. Let m(c) = 4*c**2 - 7*c**2 + c**2. Calculate i(m(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 62*r**4 - 8263 - 228*r**3 + 8287 - 68*r + 282*r**2 - 75*r + 3*r**5.\nAnswer: (r - 1)**3*(r + 24)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-34640)\/360 - -54) + (-6)\/(-27).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u**2 - 19*u + 2726 + 39*u - 19*u.\nAnswer: -u**2 + u + 2726","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.82, 4\/3, 2\/47, 3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -700*v - 932*v + 1007*v - 639*v.\nAnswer: -1264*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 865, 1107, 1335, 1543, 1725?\nAnswer: 1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 307, 228, 149, 70, -9, -88?\n\"Answer: -79*v + 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -c64 (base 16) to base 3\nAnswer: -11100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 101733811 to the power of 1\/2, to the nearest integer?\nAnswer: 10086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 165 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -810015, -810016, -810017, -810018, -810019?\n\"Answer: -y - 810014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2, -4, 2\/7, 0.5, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/96*-8)\/(-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(1\/11)*((x\/x**(1\/10))\/x*x*x)\/x assuming x is positive.\nAnswer: x**(109\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 9826267 to the power of 1\/2, to the nearest integer?\nAnswer: 3135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g - 2*g = 0. Suppose 2*r - i = -0 + 8, g = 2*i. Solve r*u + 1 = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -31*p - 1020 + 2756. Calculate the remainder when p is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x + 7. Let f be v(5). Let k(p) = -p**3 - 12*p**2 - 16*p - 13. Let r be k(-11). Suppose 6*m - r = 54. What is the greatest common divisor of m and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/(-5)*(-15)\/6. Suppose -4*y - x - o = -2*y, 0 = 4*y + 5*x + 20. Solve -w = -y*w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppwwwwwppw?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f + 3. Let p be i(-7). Put -6, 0, p in increasing order.\nAnswer: -6, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h. Let f(k) = -11*k**2 - 8*k + 8. Let o = -514 - -506. Let l(q) = -3*q + 5*q - 4 + 3*q + 7*q**2 - 1. Let y(m) = o*l(m) - 5*f(m). Determine x(y(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 0.5, -15\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 910*d**2 + 163776*d - 4320 = 0. What is d?\nAnswer: -180, 12\/455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4129771571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1291464\/65 - 19870. Let o = -12\/13 - f. Which is the closest to 2\/5?  (a) 4  (b) -1\/3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*s + 48*s - 5377 = 0. Let x = s - 96. Suppose -10 = -y + 6*y, -4*y = -f + 55. Calculate the remainder when x is divided by f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -18.262348897 and 18.\nAnswer: -0.262348897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-716)\/(-1074))\/(2\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*v = -8*v - 56. Let s be 87\/5 + v\/(-70). Suppose 2*w = 5*l - 6*l + s, 0 = -5*w - 4*l + 50. Solve -2*n = -w*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3300 - -2203203?\nAnswer: 2213103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 - 5*d - 1. Calculate c(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 134 a factor of 6432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u + 5. Let d be c(-3). Let q(y) = -d*y**2 - 3 + 3 - y. Calculate q(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, 41, 51, 61?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*p - p**3 + 3*p**3 + 0*p + 14*p**3 - 45 + 45 - 2*p**3 + 0*p**3 + p**3 + (2*p + 4*p - 4*p)*(2*p**2 - 3*p**2 + 2*p**2).\nAnswer: 17*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19)*1 + -5)**2 + (sqrt(19) + (2*sqrt(19) + -4 - sqrt(19)))**2.\nAnswer: -26*sqrt(19) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (42 + (12 - 8))\/(2\/3). Suppose -5*x - 50 = -65. Calculate the greatest common divisor of x and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7914 - -13816. What is the thousands digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the second derivative of -t**5\/10 + t**4\/6 - t**2\/2 - 8*t. Give r(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.914 minus -449?\nAnswer: 440.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of s**4\/42 - s**3\/21 - 2*s**2\/7 - 20*s. Factor g(m).\nAnswer: 2*(m - 2)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*l = -60*l - 285576. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 8*l + 14. Let f be a(-7). What are the prime factors of 20*((-1)\/2 + f\/(-7))?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 15927.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 40238*f - 40263*f - 350 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from omoiqm?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 39 + -9. What is the remainder when f is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31.682 - 0.798. Let f = x - 25.21. Round f to zero dps.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 + 68*g - 16 - 51.\nAnswer: 68*g - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*r**2 - r**2 + 5*r**2 - r**2 + 0*r**2 + 2*r**2 + (-6*r**2 + r**2 + 2*r**2)*(2 + 1 - 2))*(3*r**2 + 5 - 5).\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 2*y. Let f = -329\/4 - -27. Let a = f - -55. Which is smaller: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) -3  (b) -2  (c) 394\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5155570, -5155566, -5155558, -5155546?\nAnswer: -5155530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 10 + -22 + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -32896 + 55033. What are the prime factors of r?\nAnswer: 3, 47, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11843.747 - -11839. Let q = -0.253 + j. Which is the closest to 2\/5?  (a) q  (b) 0.2  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -271*x + 271*x + 3 + 2*x**2 as d + b*x**2 + w*x and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 - 5*n + 57. What are the prime factors of i(0)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - 1110?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4737651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2. Let v(n) = 2*n**2 + 2*n + 6. Let i(m) = 4*b(m) - v(m). Let y be i(4). Suppose -2*f - y = -5*f. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -62*m - 492. Let b be c(-8). Solve -b = i + 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 3*w + 8. Let d = 42 + -27. Let s(l) = -4*l + 2. Calculate the remainder when o(d) is divided by s(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 53, 109, 167, 227, 289, 353, 419?\n\"Answer: f**2 + 53*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*k**3 - 2*k**3 + 3*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 8 + ((-24)\/(-32) - 7) + -3\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of 14*w**2 - 20*w - 105. Let n be v(3). Calculate the greatest common factor of n and 704.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.517860481 to four decimal places.\nAnswer: 0.5179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-510)\/1190*-2*21\/72. Let k = 1.6 - -0.4. Let f = 25\/3 - 49\/6. What is the nearest to k in f, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.2 - -0.2. Let w = 146.9 + -146.9619. Let u = -3.0619 - w. What is the closest to c in -5, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 + 8*t**2 + t - 7. Let d be j(6). Let p = d + -779\/11. Let s = 54 + -54. Which is the smallest value?  (a) -10  (b) p  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-126)*-6)\/((-4)\/(-14))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*b - 3*b + 2*b)*(-2*b - b + 4*b) + 3*b**2 + 0*b**2 - 2*b**2)*(-175*b - 271*b + 323*b).\nAnswer: -246*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-2\/13))\/p**(-7\/4)*(p*p*p*p\/p**(-2\/5)*p*p*p)\/p**(-6))\/((p*p**3*p\/(p\/p**(-3)*p)*p)\/(p\/p**(3\/2)*p**7)) assuming p is positive.\nAnswer: p**(5669\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 27, -3, 3\/4, 1.32, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 5*r + 4 = 0, 5*f = -2*r - 1 - 6. Is 4 - -4 - (f + -2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.084752677 to 4 dps.\nAnswer: 0.0848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.1 - 2.14. Let r = u - 4.96. Let d = -6 - r. What is the closest to d in 0, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*h - 0. Suppose -h - 2 = -z. Suppose z*q = q - 3*n + 30, 3*n = 12. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2300 - -362343?\nAnswer: 360043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 2) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -49  (b) -0.0424  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 165.2 + -179.2. Which is the closest to n?  (a) 0  (b) 4  (c) -0.1  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**3 + 9*l**3 + 11*l**3)*(1 - 1 - 5).\nAnswer: -90*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 14581898 divided by 15\nAnswer: 14581898\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 758040.5 micrometers to centimeters.\nAnswer: 75.80405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59 - 83 = -6*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1077194 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 25344 - 25356 = -t, -2*t = 5*f + 36 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(130)\/sqrt(160) + sqrt(13) + sqrt(39)\/sqrt(3)*1 + 6*(sqrt(65)\/sqrt(80))**2 + -5)*-1.\nAnswer: -9*sqrt(13)\/4 + 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 58 - -321. Suppose 12*b = -103 + o. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u + 0*u + 34 - 13 = u - 4, 0 = -3*s + 4*u + 16 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -4*b**3 + 1799*b**2 - 10601*b - 290. Determine d(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4447841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -14*o - 119. Let k be (5 + (-138)\/(-18))\/(6\/(-9)). Let z be g(k). Calculate the greatest common factor of z and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -458*h + 230*h - 39 = -225*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**3 - 6401*t**2 - 27150*t - 28728.\nAnswer: -(t + 2)*(t + 1596)*(4*t + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that q**3\/3 - 489*q**2\/2 + 45018*q - 66978 = 0.\nAnswer: 3\/2, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 92.1 + -92. Which is the second biggest value?  (a) -1\/11  (b) 2  (c) r  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 12800, 12779, 12744, 12695, 12632, 12555, 12464?\n\"Answer: -7*w**2 + 12807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 1.24095 millilitres?\nAnswer: 0.00124095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 90077059 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 56\/1092 + 1500392\/312. What is the highest common divisor of 63 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xjha when four letters picked without replacement from xjjaxxjexaajjehejx.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l - 1. Let u(x) = 155 - 5*x + 6*x - 152. Calculate -3*g(o) - u(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 2473663964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2 - 20*u + 87. Give s(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 182333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - ((8 - 2) + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 4*b. Let x(p) = -2*p - 2*p + 0*p + 2*p. What is x(c(r))?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10.46693 - -1.\nAnswer: -9.46693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12 and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u**5 + 12*u**4 - 14*u**3 - 12*u**2 + 16*u = 0. What is u?\nAnswer: -1, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4789.\nAnswer: 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -111, -226, -341, -456, -571?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 73167 and 7?\nAnswer: 512169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -45 + 42. Let s(n) = -n**2 - 5*n - 1. Let x be s(l). Solve a - 1 = 1, x*f + 3*a + 9 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 275*j**3 + 137*j**2 + 6*j - 6. Let v(w) = 274*w**3 + 137*w**2 + 5*w - 5. Let l(i) = 5*h(i) - 6*v(i). Find the third derivative of l(z) wrt z.\nAnswer: -1614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*n + 0*n - 2656968*n**2 + 2650945*n**2 - n**2 + 2 - 2 + (4*n + 3*n - 5*n)*(5*n - 2*n - 2*n) to the form c + x*n**2 + b*n and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/18*2*1. Let p = -2.6 - -3. Let v = -0.1 - 0. Which is the nearest to v?  (a) p  (b) t  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2239269?\nAnswer: 3, 71, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 10511, 19173, 27825, 36461, 45075, 53661, 62213, 70725?\n\"Answer: -z**3 + z**2 + 8666*z + 1845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-23 - -20)*(-13 + -1). Let v = f + -31. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (41\/(-12) + 4)\/(56\/(-448))?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**7*x**(3\/5))\/(x**10*(x**(-1\/3)*x)\/x) assuming x is positive.\nAnswer: x**(-31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 36667 divided by -991\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 10:37 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:15 AM and 10:23 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t, 2*x + 5*t - 18 = 4. Let b be 7025\/45 - 2\/18. Let c = b - 150. Calculate the smallest common multiple of x and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -13517356 + 4?\nAnswer: -13517352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 5 = -5*w, -3*j - 14*w = -9*w - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 886517373?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 191.88 to the nearest integer.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0971926423 to five decimal places.\nAnswer: -0.09719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 2*x + 10 = 6*o, -2*o + 4*x = -20. Suppose -2*g + o*g + 28 = 0. Calculate the remainder when 55 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.001536 nanograms in tonnes?\nAnswer: 0.000000000000008001536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 42 + -37. Suppose 2*n - v*t - 30 = 0, -2*n + 4*t + 36 = 8. What is the remainder when n is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 + 30 + -14 + -6 - (-8 + -81)\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7877332.\nAnswer: 2, 149, 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 - -5 - (1 + 3 - 14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 7, v: 4, b: 5}. What is prob of picking 4 v?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 133\/3000 and -17\/1500.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 90 = -0*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -496679983, -496679984, -496679985?\n\"Answer: -h - 496679982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000579 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + 5*s - 45, -164 - 27 = -3*r - s. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1510, -3026, -4542, -6058?\n\"Answer: -1516*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1\/2 - (244\/8)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 1587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3021691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) 0.5  (c) 17\/31  (d) 10678  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 10*u + 46. Let y(v) = -7*v - 31. Let h(s) = -5*a(s) - 7*y(s). What is h(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8314 + 99709\/12. Let v = 3971\/6 + -649. Find the common denominator of a and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 4*v - 8. Let l be k(0). Let t(q) = q**3 + 8*q**2 + 5. What is t(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3100 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1874 - 698. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4847\/40 - 8\/10. Let x = k - 128. Find the common denominator of x and 44\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 12*p**3 - 4*p**2 - 6*p + 5. Let f(o) = 10*o**3 - 3*o**2 - 5*o + 4. Let y(u) = 7*f(u) - 6*h(u). Calculate y(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -295131*r**3*s**2 + 23*r**3*s + 2801*r**3 + 3*r + 13907 wrt s?\nAnswer: -590262*r**3*s + 23*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d = 6*d + 15. Suppose 6*t + v - 171 = 2*t, d*v = 2*t - 103. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/(-16) - 5) + 1*4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 8*t**2 + t - 3. Let b be s(-5). Suppose -c = -5*c + b. Let i = -2444 + 2564. What is the greatest common divisor of c and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-9) - (-35)\/(-45) - -2. Let u(i) = 4*i**2 + 2*i - 1. Let n be u(s). Solve n = -2*y + 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 120886 is divided by 1490.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 7*m + 5 = 2*m, 17 = 4*x + m. Suppose 17 - 2 = -x*i - 4*z, -4*i - 12 = z. Calculate the smallest common multiple of 10 and (4 - (-3)\/i) + 27\/1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.0453  (b) -163  (c) -0.6  (d) 0.1  (e) 2\/23  (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 808\/(-14) + (-12)\/42. Let m be (0 - f)\/(2\/1). Let g = m - 18. Calculate the highest common factor of 77 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 2*h = 3*u + 18, 5*h + 20 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -1514.07 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-14))\/(((-36)\/14)\/(-9)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the second derivative of -2*t**3\/3 - 29*t**2\/2 - 25*t. Let c be h(-8). Suppose 6*q - 225 = -c*q. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*x**2 + 1 - 1)*(-19*x + 3*x + 7*x) - 2*x**3 + 2*x**3 - x**3 + 0*x**3 + 4*x**3 - 5*x**3 to i*x**2 + o + r*x + k*x**3 and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -128.15 + 128. Let h = -128 + 124.15. Let u = h + z. Put 4, u, -0.5 in increasing order.\nAnswer: u, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 2  (c) 1804\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -3*b - 4*c, -28831*b + 28824*b = 3*c - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -718\/951 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 905532 = 113532. Suppose -m = -6*w - 3*w. What is w rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.03 - 0.37. Let y = -0.75 + 0.8. Let u = -2.95 - y. Put q, u, -2 in descending order.\nAnswer: q, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -7011666155538*r**4\/19 + 140233330600308*r**3\/19 - 701166765344762*r**2\/19 + 748954840*r\/19 - 200\/19 = 0?\nAnswer: 1\/1872387, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 711928 to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 115337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 1:03 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1166 (base 8) to base 13\nAnswer: -396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -i, 3*i - 119 - 16 = -2*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14 and 54446?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 6*a + 0*a**2 - a**2 - 2 + 3*a**2 + 6 = 0. Calculate a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of -v**5\/30 + v**4\/12 + v**3\/2 - 14*v**2. Let x be (3\/2)\/(2\/4). What is b(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 171645 is divided by 913.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, -19153, 444.\nAnswer: -19153, -27, 444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 246 - 260 - 1358 = 49*z for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 2 p, and 1 r when four letters picked without replacement from {z: 1, o: 3, r: 2, p: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -25, -55, -85?\n\"Answer: -30*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((u*u\/u**(-1)*u)\/u)\/u**(-1\/4))\/(u**(-1)\/(u*(u*u\/u**(4\/7)*u)\/u)))**(-1\/27) assuming u is positive.\nAnswer: u**(-187\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3664.711 centuries to millennia.\nAnswer: 366.4711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppylqpj. Give prob of sequence jqp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/36 and -47\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + 13308474?\nAnswer: 13308479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 12 = -2*d. What is the second derivative of n - 5*n**5 - d*n + n**5 + n**5 wrt n?\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 - -12.01. Let h = 2.5 + -3. Which is the biggest value?  (a) t  (b) -1  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -144, -888, -2906, -6834, -13308, -22964, -36438, -54366?\n\"Answer: -106*h**3 - h**2 + h - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8) - (-1*sqrt(16))\/sqrt(2))\/(sqrt(8)\/sqrt(2)*5) + -3.\nAnswer: -3 + 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -14*y**2 - 47*y + 1. What is the lowest common multiple of x(-3) and 52?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + n = 1022. Suppose 63*r = 64*r - n. Suppose u = 8*u - r. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 minus -910819764?\nAnswer: 910819763.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5418256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 2 = -z. Suppose -z*v + 4 = -0*n - 2*n, 0 = -2*n + 2*v. Suppose 6*x + 13 - 13 = 0. Solve n = -x*m - m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 3*b**2 + 2. Let o be k(2). Suppose 3*q - 3*i + 8*i - 23 = 0, 3*i - 3 = 0. Calculate the smallest common multiple of q and 8*(o\/4 + -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, h: 2, i: 1, j: 1, b: 1, k: 1}. What is prob of picking 1 k, 1 j, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -78*s + 4651 - 4651 + 75*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12*q**4 + 132506*q**3 - 14*q**2 - 144795695*q?\nAnswer: 144*q**2 + 795036*q - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 24229811 and -0.1.\nAnswer: -2422981.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**4 + t**3 - t - 1. Let g(j) = -5*j**3 + 5*j - 17. Let l(y) = 5*a(y) + g(y). Differentiate l(i) wrt i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 32230423142 + -4?\nAnswer: 32230423133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-56)\/42 - (-391)\/(-51). Is 13 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81048?\nAnswer: 2, 3, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -10*m - 63. Determine f(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xwfamwx. What is prob of picking 1 a, 2 w, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 + 3547*r - 22*r**2 + 19 + 76*r**2.\nAnswer: 54*r**2 + 3547*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*s + 0*s - s)*(-2 - 2 + 1)*(-3 + 1 + 3).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9\/24*-2*-20. Let q = 29 - p. Suppose q = w - 0*w. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 917 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 24 - 21. Solve 2*p = f*s + p - 8, -2 = -s + p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**3 - 10*f**2 - 28*f - 9. Let h be i(12). Let j = 68 + h. Suppose 5*u + 0 = w + 5, -8 = u - 2*w. Solve 2*o - 3*m + j = -0*m, u*m = 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*c**4*q**2 - 9*c**3*q**2 + 2*c - 371*q**2 wrt c?\nAnswer: 8*c**3*q**2 - 27*c**2*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -6407, -6184, -5963, -5744?\n\"Answer: -h**2 + 226*h - 6632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -11940*y + 47762. Calculate t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1101010110 (base 2) to base 4.\nAnswer: 31112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 6963429 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*i + 16*i - 58*i + 18*i - 167.\nAnswer: -2*i - 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 5 + (5 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1216\/5 + -244. Calculate the common denominator of 4*1 - (67\/4 + -4) and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -82307\/10 + 8223. Let y = 3219\/20 + -161. Find the common denominator of y and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1217 + 2441 - 236*i - 1221 + 203*i.\nAnswer: -33*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (12\/5)\/(6\/20). Let u = -5 + o. Solve u = 2*y + 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 5*j**3 - 74*j**2 - 512*j - 21. Calculate f(20).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-70)\/203)\/(1610\/(-522928)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 122 + 1?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 12) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*n - 931*l + 932*l = 2*n - 23, 2*n + 13*l = -47 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (-2*sqrt(1331)*2 - sqrt(1331) - (sqrt(1331) - (sqrt(1331) + 3 + 2*sqrt(1331) + sqrt(1331)))) + -4 + -4*(sqrt(1331) + 3))**2.\nAnswer: 2112*sqrt(11) + 48172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -9*j + 511. Let s be v(47). Suppose -869 = -87*b + s. Calculate the least common multiple of b and (-4)\/(-14) + 166\/7.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 15 = 0, -4*d = -d - 3*i + 24. List the prime factors of 2\/d + (-254)\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/3*6\/(-4). Let x be 2\/f*55\/(-5). Let o = x + -8. Solve -10 = o*r + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -0.02  (b) -0.3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -2989 divided by 59\nAnswer: -2989\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*3*sqrt(228))\/(sqrt(48)\/(sqrt(4) + sqrt(64))) - -4*(-5 + (sqrt(171) - (sqrt(171) + 1))*-5)**2.\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 67219657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*b**3*q**3*y**2 - 127*b**3*q**3*y + 2*b**3*q**2 + 2*b**3*q*y**2 - 3*b*q**2 + 19*q**2*y**2 wrt q.\nAnswer: 24*b**3*y**2 - 762*b**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -257\/6 + 43. What is the nearest to 2 in -6, 0, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -976 * 4\nAnswer: -3904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 - 7*b**2 - 2*b - 12. Let u be h(-7). Suppose -3*r + 0*r - u = 4*l, 5*r = -5*l. Let t be (3 - (r - 3)) + 4. Solve -t = -w + 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (10 + -4)*(-2)\/(-12). Let v(c) = 10*c**3 - 2*c**2 + c. Let t be v(u). Differentiate -t + 2 + 0*m + 0*m - 10*m**2 with respect to m.\nAnswer: -20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -51*k*s*x - 21229*k*x + 3*k - 88451*s*x + 20*x with respect to s.\nAnswer: -51*k*x - 88451*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8, 10, -12, -70, -176, -342, -580?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*v - 2*a - 3, -20 = -5*a. Suppose 0 = -3*m - v + 16. Solve 0 = -m*z + 2*c - 16, -7 - 3 = -2*c for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*q - 286 = 2*q - 8*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -892191\/179 or -4983?\nAnswer: -892191\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1018710 and 2871.\nAnswer: 29542590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 5*v**3 - 9*v**2 - 5*v. Let u(f) = 9*f**3 - 9*f - 17*f**2 + 6*f**2 - 7*f**2 + 1 - 2. Let p(y) = 7*c(y) - 4*u(y). Is p(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 2*l + 15, 0 = -4*n - 0*l + l + 25. Suppose 3 = -3*g + 9. Suppose -n*s = -g*s - 21. What is the remainder when 19 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 5*p = 452, -3*d + p + 339 = -2*p. Let z = d - 110. Suppose z*s - 75 = 8*s. Is -12 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*b**2 + 4*b - 7*b - 3*b**3 + 5*b**3 + 4*b - 2*b as l*b + r + h*b**2 + u*b**3 and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*(-3)\/(-21))\/((-124)\/6076).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = 5*d - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -8*36\/(-120)*2\/4. What is the closest to 0 in 2, 5, k, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbbb. Give prob of picking 4 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-10)\/(-170) - (-354)\/51. Sort m, 3, 1\/6, 1\/2, 2 in descending order.\nAnswer: m, 3, 2, 1\/2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 3 = -x - 21, 15 = -5*f. Let a = 55 + x. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-37800)\/452250*(-20)\/56.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/(2*3\/(-6)). Suppose k = -n*k + 2, -3*k = -5*x + 74. Let u = 27 - 19. Calculate the lowest common multiple of u and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*j = -40 + 533. Solve 4*m + 3*u = -j, -5 + 2 = u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 327\/7 less than or equal to -135269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -34721, -138840, -312373, -555320, -867681, -1249456?\n\"Answer: -34707*s**2 + 2*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2416 and 148584?\nAnswer: 297168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -19040 divided by -85?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1591*w - 1592*w - 5 = -3*y, 3*w = 5*y - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.2 + 0.5. Let z = 1.4 + k. Let j = -6.7 + z. What is the biggest value in -0.5, j, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 5*a**2 + 8*a + 2. Let l(v) = -6*v**2 - 9*v - 2. Let k(q) = 4*l(q) + 5*s(q). Let n = 2 - 0. Let y be n - (-1 + 2 - -4). Give k(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002543683924 to seven decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of 3*t**4\/10 - 484*t**3\/15 - 81*t**2\/5 - 858. Factor z(c).\nAnswer: 2*c*(c - 81)*(3*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 671042 is divided by 223668?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 513916 is divided by 61.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -86\/9105 and -37\/104494443.\nAnswer: 522472215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z\/(z**(2\/17)\/z)*z**1*z assuming z is positive.\nAnswer: z**(83\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5284 + -5272. Let j(o) be the first derivative of 6*o + f - 1\/3*o**3 + 7\/2*o**2. What is j(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -124.37 + 2.37. Let y = 121.99815 + c. What is y rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 - -37f?\nAnswer: 37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 46924215181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, n: 2, x: 7, z: 7}. What is prob of sequence zzx?\nAnswer: 49\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -19. Let b(f) = -5*f + 36. Let y be b(-3). Let z = p - y. Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 4*f - 64, -7*f + 3*m + 81 = -2*f. Solve -4*c + f = -y, -c = 3*y + 2*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11387166\/290913*((-10)\/(-15))\/((-8)\/42)?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(44) - sqrt(11)) - ((sqrt(396) - sqrt(396)*-2) + sqrt(11)).\nAnswer: -18*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14.78 - -16.78. Which is the second smallest value?  (a) 19\/3  (b) -1  (c) -4  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142028 is divided by 10919?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1430 and 25?\nAnswer: 7150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/20 - (-18)\/56. What is the nearest to 0 in 0.4, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 6*j**3 + 2*j**2 - 2. Let t(a) = 11*a**3 + 4*a**2 - 4. Determine -4*t(k) + 7*y(k).\nAnswer: -2*k**3 - 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(-5)*6\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 2*a - 36 = -3*o, 5*a + 15 = 0. Suppose o*g = g. Let k(q) be the first derivative of -q**2\/2 - q - 1. Determine k(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52\/(-14) - ((-3)\/(-3) - 5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 169\/1512 and 37\/56?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of -3*n**2 - 76. Let w(h) be the third derivative of -h**4\/8 - h**2. Calculate r(w(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 11 + -1235014?\nAnswer: -1235003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-3)*(13 - 28). What is the units digit of 0 + 2\/(-20) + (-362)\/n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 + 1)*1\/4. Suppose -20 + w = -4*v. Factor -24*b**3 + 8 - b - 44*b**2 + 18*b - v*b.\nAnswer: -4*(b + 2)*(2*b - 1)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((30\/4)\/5)\/(18\/252). Let q be (-6)\/(-2)*4\/6. Let m(w) = 9*w + 39*w**2 - 17*w**2 - r*w**q + 4. What is m(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.03654 + 0.06491. Round s to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*d + 4*j + 11 = 7*d, 2*d - j = 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*f**5 - 1620*f**4 - 14796*f**3 - 44604*f**2 - 44712*f.\nAnswer: 4*f*(f - 414)*(f + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f + 2*f - 4*f + 2*f**4)*(-295 + 2255 + 324).\nAnswer: 4568*f**4 - 11420*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 PM and 6:50 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1209103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -72 - -324. Let t = s - -57. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**2 - m + 1. Let f(y) = y**3 - 8*y**2 + 10*y - 21. Let s be f(7). Let o be l(s). Solve 0 = 2*b + 5 + o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 80.48 times -0.32\nAnswer: -25.7536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 - -15\/2. Let p = -16\/3 - -5. Let k = 58362 + -58362.05. Sort k, p, u in descending order.\nAnswer: k, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18 times 12686679\nAnswer: 228360222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 338.4421ug in nanograms?\nAnswer: 338442.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -20057 (base 9) to base 6\nAnswer: -140554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -5 - 3. Suppose 16 = -99*p + 101*p. Suppose 0 = -m - h + p, -14 = 2*m - 4*m - h. Calculate the lowest common multiple of m and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/15  (b) -11  (c) -0.5  (d) -68  (e) 0  (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1513271499 a multiple of 397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 308*q - 38976 = -614*q + 102*q + 124*q for q.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j - j - 3*j)*(4 - 4 + 5*j) + 0*j + 0*j - j**2 - 7*j**2 - 12*j**2 + 17*j**2 + 12 + (2 - 2 + j**2)*(-2 - 1 + 1).\nAnswer: -15*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19824 is divided by 1638?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -71 + 142. Let z = g - -18. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -212012021222 (base 3) to base 14\nAnswer: -bc561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 689938*10\nAnswer: 6899380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 708 = -164*w - i + 77, -2*w - 2*i + 38 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -346f - 454a?\nAnswer: -79b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 3*c = 0, -3*x = c + 19 - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -103313 (base 6) to base 11\nAnswer: -6465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 86 = -j - j, -u = j - 35. Calculate the remainder when 76 is divided by u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 84 - 54. Let y = p - 29. Which is the third biggest value?  (a) 0.04  (b) y  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4 and -1271686.9747145?\nAnswer: 1271682.9747145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-60)*-12*10385\/201\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -10*u + 7. Let j be h(-8). Suppose j = o - k, k + 1 = 2*k. Let x = 124 - o. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(147) + 2)**2 + 3.\nAnswer: 28*sqrt(3) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-3))\/(69*1729\/73416)?\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - b = 0. Let n be -7 + (3 - b) + 3. Which is smaller: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-4)*i\/i**(-2\/11))\/(i**(-2\/19)*i*i*i**(-3)) assuming i is positive.\nAnswer: i**(1523\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**2 - 1860*c - 30753.\nAnswer: -3*(c + 17)*(c + 603)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -12  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are 509.00577 and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 16\/6*(-45)\/(-30). Let g(d) be the first derivative of 0*d - 4\/5*d**5 + 0*d**3 - 5\/2*d**2 + 0*d**b + 5. What is the second derivative of g(x) wrt x?\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/4  (b) -0.4  (c) -2\/3  (d) 2  (e) 540\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -690, -681, -674, -669, -666?\n\"Answer: -j**2 + 12*j - 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the second derivative of 3*n**5\/5 + 73*n**4\/18 + 76*n**3\/9 + 4*n**2\/3 - 64*n - 2. Factor t(d).\nAnswer: 2*(d + 2)**2*(18*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -38*d**3 + 13 - 32*d**3 - 33*d**3 - 11*d**2 - 13*d + 0*d**2 + 104*d**3. Calculate l(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002576231 rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -35  (b) 4  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 99857 divided by -194.\nAnswer: -99857\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 104989 > 314971\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -4, -5, -2, 5, 16, 31, 50?\n\"Answer: 2*v**2 - 7*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 5518 and -24.1573.\nAnswer: 5493.8427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 2*c**3 + 8*c**2 + 8*c - 79. Give o(6).\nAnswer: 689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from {t: 11, y: 2}?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*x - 93*x - 32*x - 61*x.\nAnswer: -200*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (3 + 6 + -36 - -9) + 8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4361 (base 7) in base 16?\nAnswer: 61a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**19)**(-4\/21) assuming w is positive.\nAnswer: w**(-76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38 divided by -11860886.\nAnswer: 19\/5930443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*w - 90074*w**2 + 9*w + 229058*w**2 - 3*w.\nAnswer: 138984*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39597?\nAnswer: 3, 67, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and 395.4486?\nAnswer: 395.4486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5)\/(10\/(-1))*192\/(-57). Let w = y - -485\/209. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wlnw when four letters picked without replacement from {w: 1, n: 4, h: 4, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -27725*b. Let x(r) = 5*r. What is x(v(o))?\nAnswer: -138625*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-2*(-18)\/(-12))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s - 3*s + 1830. Calculate the remainder when s is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 4\/7  (b) -1\/4  (c) -2\/5  (d) -3  (e) -1\/493  (f) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.12738 + 0.47262. What is the nearest to 1 in a, 7, 10\/9?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (126\/252)\/(8\/10).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24 + -20.6. Let o = -3626.4 - -3628. Let s = o + l. What is the nearest to -2 in -0.01, -2\/11, s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3199223202?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 121*z - 38*z + 1753 - 3456 + 1703.\nAnswer: 83*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a - a + 3*a)*(4 + 8 - 3)*(-99 + 99 - a)*(-1 + 2*a - a**2 + 1).\nAnswer: 9*a**4 - 18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -247*v - 420 + 2890 = 0. What is the lowest common multiple of v and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3*(-1)\/(-9)*90\/(-60). Which is the nearest to 29?  (a) u  (b) -2\/5  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1671997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4876581835 divided by 5.\nAnswer: -975316367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 137555839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*s + 8*s + 28536 = 187*s + 342*s for s.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**4\/5 + p**3 - 4*p**2\/5 = 0. What is p?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0.5, -2\/81, -0.04 in ascending order.\nAnswer: -0.04, -2\/81, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*a - 5*a + 3*a)*(-a**2 - 2*a**2 + 4*a**2) - 1 + 178*a**2 - 2*a**3 - 178*a**2.\nAnswer: -16*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 3*n = -1065 - 966, -4*j - 5*n = -2706. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 AM and 12:33 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -34909 divided by -12782\nAnswer: 4987\/1826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**3 + 4*f**2 + 7*f + 1. Let d(k) = -19*k - 1. Let o be d(-1). Suppose -4*j + 2*i + o = 4*i, -4*i - 14 = -2*j. What is z(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.037 + -0.163. Let h = -9 - -9.1. What is the nearest to 0.3 in 4, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16 and 48491104?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add 435862 and 5231.\nAnswer: 441093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m\/(m*((m*m**1)\/m*m)\/m))*m)**(-36\/5)*(m\/(m\/m**(-5\/2)*m))\/(m\/(m\/m**(2\/11))))**(1\/4) assuming m is positive.\nAnswer: m**(-2781\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -8*x + 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.069 + 0.511. Let g = 56399150 - 56399150.58000058. Let m = g + h. What is m rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 15\/12*8\/(-2). Let q = -16 + 11. Let d = x - q. Put -5, 3, d in increasing order.\nAnswer: -5, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -9*j**3 + 2*j - 5. Let b(q) = -5*q + 2. Let a be b(1). Let i(x) = 5*x**3 - x + 3. Calculate a*h(d) - 5*i(d).\nAnswer: 2*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -5*z**3 + 19*z**2 - 46*z + 20. Let r(t) = 20*t**3 - 75*t**2 + 185*t - 80. Let g(f) = 25*l(f) + 6*r(f). Determine d so that g(d) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ovhvrrhohvvovrhr. Give prob of sequence hohh.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1366906809.\nAnswer: 3, 455635603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.1*1.6.\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13170073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000942021326 rounded to seven decimal places?\nAnswer: 0.0000942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 - 9*x**2 - 6. Let f be p(9). Let t = 11 + f. Suppose 4*c = t*c. What is the nearest to -1 in -3, c, 3\/8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 4*n**3 + n**2 + 2*n. Calculate u(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1.3 times -1.26\nAnswer: 1.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -448.6 - -402. Let u = -47 - y. What is the third biggest value in 8, u, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 101279680.28 to the nearest ten thousand.\nAnswer: 101280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -39*w + 784. Let h be o(20). Solve h*y = -56*f + 53*f + 4, 0 = -4*y - f - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u + 7. Let a be b(8). Does 42 divide 18*(-45)\/(-5) - a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -190 - 300?\nAnswer: -490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -9 + (-156)\/(-18) + (-67)\/(-3). Suppose -w*p = 128 + 4. Let t(x) = -x**2 - 6*x - 2. Let i be t(-7). Is p greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 4*f**2 + 3*f - 2. Let d be j(2). Suppose 11*u = 8*u + 6. What is the greatest common factor of d and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*g - 5*s - 33, -5*s = 53*g - 48*g + 60 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = -11*n + 11. What is the smallest common multiple of 6 and 8*3\/n*(-10)\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 + 12. Suppose -3*q + 7 = -4*t, l*t = t + q - 3. Suppose 4 = 3*y - t*y. Solve -y*i + 3*o = 21, -3*i - 3*o - 6 = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 - 11*m**2 - 12*m - 10. Calculate the least common multiple of b(-10) and -3 + 1\/(2\/10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 12) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 67.531104ms in days?\nAnswer: 0.00000078161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 97\/52 + -7\/4. What is the common denominator of k and 75\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142305383?\nAnswer: 11, 19, 41, 16607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes before 4:19 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 293, 530, 767, 1004?\nAnswer: 1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f = -9603 + 2589. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5466907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 34322769779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v**3 + 5*v**3 - 6*v**3)*(-6 + 4 + 0) + 0*v**3 + v**3 + 0*v**3 + (-2*v**3 - 2*v**3 + 2*v**3)*(1 - 1 + 1).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 + -6. Let h be x*(21\/6)\/7. Let r = 21 - h. Calculate the greatest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 132868 and 236.\nAnswer: 132868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from emfmnmjnmmmnjmgfj. Give prob of sequence nnfj.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*l**3 + 571*l - 3350 wrt l.\nAnswer: -9*l**2 + 571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**2 + 23*d + 919. What is x(44)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 4*p = -1375, 4*w - p - p - 1820 = 0. Let x = -217 + w. Let b = x + -159. List the prime factors of b.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 4*v + v + 0*v - 3*v. Let d(h) = 2*h. Calculate d(i(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, n: 3, d: 1, m: 2}. What is prob of sequence mun?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + -6 + 17 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-2))\/((-85)\/((-114920)\/156)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/(y*y\/y**(-31)*y)*y*(y\/((y*y**(14\/9))\/y))\/y assuming y is positive.\nAnswer: y**(-302\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -21635899*o**2 + 25715153*o wrt o?\nAnswer: -43271798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1 + 76034\/(-35))\/((-12)\/60).\nAnswer: 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:08 AM and 5:40 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 10357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**2 + 9*j - 1. Let d be y(-9). Let b = d + 4. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*m = 14*m - 300 - 1140. What is the remainder when 539 is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 78021230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/20 in -1\/2, -4, 1, -42?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 1 = c - 2*u, 3*c + 5*u = -3. Let i = 2 + c. Suppose i = d - 5. What is the smallest common multiple of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -91888, -92267, -92902, -93793, -94940, -96343, -98002?\nAnswer: -99917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2318 - 4765 + 2376 + 363*b - 1 + 1 - 2*b + 2*b - b - 3*b + (0 - 3 + 4)*(2*b - 2*b - b) to v + r*b and give r.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7439 and 3483.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 53 (base 10) to base 5.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8 - -4*(-3)\/6. Suppose 2*h - l + 2 = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3586 + -3610. Let w = -5.4 + 0.4. Which is the closest to 0?  (a) d  (b) w  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 854547768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -0*c - 12. Suppose -c*u = 4*t - 7*u - 31, -t - 3*u = -19. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/(-15) - 8\/(-20). Suppose 72 = -4*p + 4*x - 0, 4*p + x + 47 = j. Let n be (-2)\/(-13) + 2\/p. Solve 4*q - 2 - 6 = n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 48\/5 of a tonne?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -122 + 246 - 124 - 79*r**2 in the form x*r**2 + i + z*r and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v**2 - 4*v + 170. Let g(n) = -216 + 653 - 214 - 2*n**2 - 223. Give k(g(x)).\nAnswer: -8*x**4 + 8*x**2 + 170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*i - 6*i + 3*w = -4, -3*w + 0*w = i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8047 divided by 1783?\nAnswer: -8047\/1783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 310 - 337. Let p(w) = w**2 + 12*w + 81. Does 18 divide p(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 5 + 2)*(-1 + 0 - 1)*(2*q + q - 2*q)*(4 - 3 - 2).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 42 - 26. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -141 + 144. Solve 7 = -n*b - 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*j**2 + 29*j**4 - 9*j**2 + (j - j - 2*j**3)*(-4*j + 4*j + j) - 2*j**4 + 4*j**4 - j**4 + (-j**4 - 3*j**4 + 2*j**4)*(3 - 4 + 0) - j**2 + 2*j**4 + j**2.\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9\/11 + -49\/33. Let g = 6.01 + -5.51. Which is the closest to 2?  (a) g  (b) s  (c) -0.4  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*k = -1471 + 1411 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*(s**(1\/3)*s)\/s)**(-45\/2)*(s\/(s*s**1))\/(s\/(s\/(s**(-4)\/s*s))*s))**23 assuming s is positive.\nAnswer: s**(-644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(-8) + (-7)\/((-280)\/75). Does 11 divide -198*(z - 15\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (49\/5 - 7)*5. Calculate the greatest common divisor of o and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/1 - 10\/(-2). Let p = c - 2. Put p, -1, 4 in decreasing order.\nAnswer: 4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 116885*k**2. Let t(p) = 26*p**2 - 4. Calculate t(j(n)).\nAnswer: 355214683850*n**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -38*w - 853. Calculate the remainder when 543 is divided by d(-30).\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -7*f. Let k be m(2). Let t = k - -21. Suppose 2*z = t*z + y - 17, 3*z = 4*y + 1. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2604522 (base 7) to base 10\nAnswer: -337773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 102511562 is divided by 25627882.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -3*d**4 + 147*d**3 - 990*d**2 - 42108*d + 543048 = 0.\nAnswer: -17, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrr. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 3) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2208 (base 14) in base 12?\nAnswer: 34a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -9*c**2 - 8*c - 5. Give l(-3).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 176008225?\nAnswer: 5, 17, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*r**4*z + 12*r**4 + 12433*r**3*z - 115*r**3 + 146*r**2*z + 248773*r**2 wrt r.\nAnswer: 48*r*z + 288*r + 74598*z - 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 - o. Let d(v) = -14*v**2 + 5*v. Suppose 0 = 3*f - 2*r - 7, 4*f + r = -9. Let x(q) = f*d(q) - 5*m(q). Let j(s) = s**2. Give j(x(u)).\nAnswer: 81*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -42*a + 1325. Suppose -25571 - 25982 = -a*r. List the prime factors of r.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -18*a**3 + 5*a**2 + 15*a - 19. Let y be z(-6). Calculate the greatest common factor of 107 and y.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 425910.9mm to centimeters.\nAnswer: 42591.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 124680.\nAnswer: 2, 3, 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 21*j**2 - 9399*j - 4038. Calculate u(448).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.1, 2, 4\/5, 22?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -215 divided by -6?\nAnswer: 215\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s*s**6*s)\/s)\/s)\/(s**(-6)*s) assuming s is positive.\nAnswer: s**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -6*w**2 - 10*w + 44. Let c(j) = -389*j. Calculate t(c(p)).\nAnswer: -907926*p**2 + 3890*p + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1\/3)*m\/m**(-3))**21 assuming m is positive.\nAnswer: m**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11\/530 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 122, 3, -21, 0 in ascending order.\nAnswer: -21, 0, 3, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/13)\/((-1260)\/(-10920))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4*(-1)\/3)\/(452\/(-2034)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -134250977*i**3 - i - 5213934 wrt i.\nAnswer: -805505862*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1017*r**5 + 26730*r**2?\nAnswer: -61020*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 7*u - 3. Let c(l) = -50*l + 20. Let n(f) = 3*c(f) + 20*y(f). Let w(i) = -2*i. What is w(n(g))?\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.0184327 - 46614\nAnswer: -46613.9815673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a factor of 744507446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(1\/6)*s)\/(s**(2\/17)*s))**(-1\/11) assuming s is positive.\nAnswer: s**(-5\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-35)*21\/12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*v = 15*v + 190. Suppose 328000 = 40*c - v*c. Round c to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(99)*-1 + (sqrt(99) - (sqrt(99) + sqrt(99)*4))*3)\/(-3*(sqrt(324)*5 - sqrt(1089)*-3)).\nAnswer: 2*sqrt(11)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + 4b?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 2800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 3, v: 5, q: 1, r: 2, d: 1, x: 1}. Give prob of sequence qrr.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 39*t - 2. Give c(-3).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 76 = -4*p, -3*m - 8*p = -12*p - 71. Suppose 30 = -15*k + m*k. Solve 0 = -2*f + k*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -319*j + 1374*j - 293*j - 319*j - 399*j.\nAnswer: 44*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*q + 2274 = 2709 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 451178065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 8*t = -0*t. Solve t*z - 3*z - 4*u = 0, -3*u = 4*z + 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 131807546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(180) + sqrt(180) + (sqrt(180) - (-2*sqrt(180) - sqrt(180))))*-3 - sqrt(180))*-2)\/((-2*(sqrt(16) - sqrt(16)*-2))\/(-1*sqrt(36))))**2.\nAnswer: 16245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1304571 is divided by 3749?\nAnswer: 3668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from jjjjbtkbjmtlmk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 0 + -4 + 11 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 128\/44 + (0 - 3\/(-33)). Solve g*y - 19 = -1 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**5 - 13*a**4 - 49*a**3 - 47*a**2 - 14*a.\nAnswer: a*(a - 7)*(a + 1)**2*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 219643 is divided by 182.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**3)**(-20)\/(f**(2\/3))**29 assuming f is positive.\nAnswer: f**(-238\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**2 + 1. Let j be (-14)\/(-6) - (-4)\/6. Let o be a(j). Let t be 1\/(-1) + o - -1. What is the highest common factor of 50 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 13  (c) -0.4  (d) 0.19  (e) 11\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x + 3*o - 676, -2*x - o + 133 + 207 = 0. List the prime factors of x.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three tenths of a millennium in centuries?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1622*j + 496*j - 1078*j + 85*j - 1944 wrt j.\nAnswer: -2119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 0*y = -4*t + 16, 0 = -4*y - 5*t + 20. Put y, 2, -2, -8 in increasing order.\nAnswer: -8, -2, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 1)*(-3*q**3 + 5*q**3 + 3*q**3 + (3 - 3 + q)*(2 - 3*q**2 - 2) - 5*q**3 - 2*q**3 + 4*q**3).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u + 10*u + 12 = 0. Let n be u - (2 + -2)*-1. Suppose n*x - 109 = -5*j, -105 = -7*j + 2*j - 5*x. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the third derivative of w**4\/24 + 397*w**2. Let z(n) = 867*n**2. What is x(z(o))?\nAnswer: 867*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86507.28 minutes to days.\nAnswer: 60.0745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 + 2*s**2 - 1. Give n(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24 + 24 + 13)*(3*x - x - 4*x) + (-17*x + 12*x + 20*x)*(-11 - 4 + 10).\nAnswer: -197*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*d - 1075 = -1491 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 69 - 63. Suppose 0 = m*p - 11 - 1. Calculate the lowest common multiple of 7 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 127 + -127.2. Let t = 2 + -3. What is the smallest value in t, 0.2, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12 in 0.5, -159\/4, -1\/6, -1, 0.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/3610 and 121\/1970.\nAnswer: 711170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -46865, -93741, -140619, -187499, -234381, -281265, -328151?\n\"Answer: -s**2 - 46873*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -4.2245, -8, 4, -2\/53, 0.5?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -5*o**2. Let f(l) be the third derivative of -l**4\/24 - 3*l**2. Let r(q) = 4*q. Let z(a) = 6*f(a) + r(a). Calculate t(z(m)).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -23*g**2 - 38*g - 34. Determine f(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/776 and -55\/679.\nAnswer: 5432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/750458 and 137\/3708.\nAnswer: 13508244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 198 and 4202.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -3*c**4 - 770526*c**3 - 34667316*c**2 + 71646222*c - 36208377 = 0.\nAnswer: -256797, -47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*w + 2*w**4 - 4*w)*(-10*w - 4*w + 8*w) + (-3*w + 3*w + w)*(-w**4 + 5*w**4 + 0*w**4) - 3*w**2 + 3*w**2 + w**5.\nAnswer: -7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (2 - (1 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 666328 = -31*y + 668839 for y.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -5, -3\/25, -4\/3, 1\/35?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -312 = -5*r - 287 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 20 = -c, -5*c + c - 15 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 106659?\nAnswer: 3, 7, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*p**4 + 259*p**3 + 3*p**2 + 45197*p wrt p.\nAnswer: -36*p**2 + 1554*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 42062471, 84124932, 126187393, 168249854?\n\"Answer: 42062461*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-3\/8)*b*b*b)\/b*b*b**(-2\/9))\/((b*b**(2\/9))\/b*b*(b*b**(-2\/7)*b)\/b) assuming b is positive.\nAnswer: b**(235\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 4*h + 14 = 0, 4 = 2*p + h - 0*h. Let t(l) = l**3 - 4*l**2 + 2*l - 3. Let g be t(p). Let v be g\/(1\/2*-1). Solve -4*m + v = -4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2337820 and 100450?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 29, -0.44, 1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x - 9 = -0*x. What is the least common multiple of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 - 22 = -q + 5*n, 4*q - n - 15 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/5  (b) -0.6  (c) 4  (d) -2  (e) -5  (f) 274\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -10*2\/(-20)*(-4)\/46. Which is the closest to -0.1?  (a) -2\/7  (b) u  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**2 + 14*p - 56. Let q be k(13). Suppose 0*v + 5*v - 4*l = 243, 0 = -5*v - 2*l + 231. Let x = v + q. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28500 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30245?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-9)*(-630)\/(336\/16))\/((-1)\/(-5))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 279*b**2 - 114*b - 568. Is w(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -9, 303, -2?\nAnswer: 303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 60 and 100420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2)\/10)\/(28\/(-1260))*-1. Sort -5, u, -37.\nAnswer: -37, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*h - 4*h - 4. Solve -7 + 3 = -h*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 4*z + 190669 = x, 5*x - 3*z = 317789. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 110 and 849440.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10247\/12 + 854. Let k be 3*(-2)\/6*2. Let o = 114 - 118. Which is the closest to k?  (a) -5  (b) o  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-63 - -64) + (-1 - 2) + 17 + -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 93 divided by -5?\nAnswer: -93\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 310*o**2 + 110*o**2 - 125*o**2 + 200*o**2 + 29*o**2.\nAnswer: 524*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -3*r + 4. Calculate p(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2*t + 5. Let j = 0 - -1. Let b(h) = 4*h + j + 2 - 12. Let i(z) = -z**3 - 6*z**2 + 5*z - 11. Let y be i(-7). Calculate y*b(l) + 5*f(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3701?  (a) 2  (b) -1\/4  (c) -5812\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3337815515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -15*h**3 - 2*h + 728 - 1462 + 5*h**2 - 2*h**2 + 733. Give d(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2653 is divided by 208.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3361, -12544, -27529, -48304, -74857, -107176, -145249, -189064?\n\"Answer: 2*j**3 - 2913*j**2 - 458*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 46.5 - 47. Which is the second smallest value?  (a) t  (b) -6\/23  (c) -1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -3*t**3 + 301*t**2 - 684*t - 184. Let j(n) = n**2 + 3*n - n**3 + n**2 + 3*n**2 + 3. Calculate the remainder when j(4) is divided by s(98).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 173305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 4148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 10152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -12261, 126, 70 in ascending order.\nAnswer: -12261, 70, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 28, 46, 88, 166, 292, 478, 736, 1078?\n\"Answer: 2*f**3 + 4*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the second derivative of z**4\/6 - z**3\/3 - z**2\/2 + z. Let m be h(-1). Solve 4*u - 10 = 2, 3 = -4*y - m*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5296*z + 3924*z + 149548 = 0 for z.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 255 = 5*h + 2170, 0 = 4*t - 5*h - 1536. What is the remainder when t is divided by 49?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1000221122 (base 3) to base 9\nAnswer: -30848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-4)\/(-8))\/((-1)\/(-24)). Let l be ((-20)\/(-8))\/(3*2\/z). Let h(w) = l - w + 0 - 6. Give h(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -89*a**2\/4 + 2249*a\/4 - 150 = 0.\nAnswer: 24\/89, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -329, -330, -329, -326, -321?\n\"Answer: c**2 - 4*c - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -22*f**2 - 11469199 + 11469199 - 17*f - 26*f as i*f**2 + q + z*f and give z.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 - 65)*(-4)\/6. Let m be (18 + -15)*196\/6. Let v = m + x. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6883600 and 175?\nAnswer: 48185200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/9 and 157\/8909610.\nAnswer: 26728830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, f: 2, m: 1, v: 6, y: 2}. What is prob of picking 1 v and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**17\/(i*i*i\/(i*i**(1\/6)\/i))*i**(2\/67)*i**4\/i assuming i is positive.\nAnswer: i**(6913\/402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*o + 1130 = -1231 + 437 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.080411 and 90?\nAnswer: 7.23699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 18*u + 28 = 20*u, -12*w = 5*u - 68 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 16120 - 4?\nAnswer: 16118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -20.25 to zero decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5238 is divided by 262?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -16722, 0.3, -377 in descending order.\nAnswer: 0.3, -377, -16722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -237 - 155. Let p = d - -1962\/5. What is the smallest value in -1.4, 3\/4, p?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 191*j - 189*j = -4, -5*p - 2*j + 32 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2214197 is divided by 299?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 3 - 3)*(0 - 3 + 5)*(-2*p - 14 + 13 - 2*p) to the form l*p + x and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3414, -3361, -3278, -3171, -3046, -2909, -2766?\nAnswer: -2623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1026634 = -23*z - 320074. Is 160 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6020, 22201, 48540, 85031, 131668, 188445, 255356, 332395?\nAnswer: 419556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9cb7b0 (base 14) to base 13.\nAnswer: -11495bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 9 + 5 + -7 - -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8 and 584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -1\/6, -2.9, -0.5, 54?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 9*w - 4. Let a be m(-8). Let y = 236 + a. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**2 + 3*o - 7. Let a be s(-5). Suppose -21*p + 25*p + 32 - 104 = 0. Put 4, a, 5, p in descending order.\nAnswer: p, 5, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-7) - (-3434)\/119 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-two fifths of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -171*b**2\/2 - 221602*b\/3 + 4032 = 0.\nAnswer: -864, 28\/513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 3 - d - 4 + 2*d**3 to p*d**3 + m + i*d**2 + a*d and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x + 11 - 11.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 + 13*t**2 + 5*t + 62. What is f(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 490.1838 millilitres in litres?\nAnswer: 0.4901838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*v + 6*v**2 - 1 - 28*v**2 + 26*v**2)*(v - 3*v + 3*v).\nAnswer: 4*v**3 + 7*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -9 (base 15) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 6, 63512, 33 in descending order.\nAnswer: 63512, 33, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of 2\/5*v**5 - 11 - 1\/30*v**6 + v + 0*v**4 - 64\/3*v**3 + 128*v**2. Factor c(a).\nAnswer: -(a - 4)**3*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1200101 - 11?\nAnswer: 1200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ksssbbjkssskktkbts. What is prob of sequence jkt?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -69\/2, 3\/2, -0.6 in decreasing order.\nAnswer: 3\/2, -0.6, -69\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 13 = -78. Suppose 0 = -i + 19 + 18. What is the remainder when i is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-1\/8)*g\/(((((g\/g**(-4))\/g)\/g)\/g*g)\/g)*(g**(-1\/4)\/g)\/(g**(-5\/3)\/g*g) assuming g is positive.\nAnswer: g**(-17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13590*g - 13715*g + 625 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/(-342)*12\/20\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 51*d**2 - 24*d**2 - 24*d**2. Let x(c) = -20*c. Calculate j(x(u)).\nAnswer: 1200*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 65 = -a + 70, -4*b + 2*a = 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) 0  (c) 2  (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of ((-3)\/(-2))\/1*(-15 + 21) and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/12 and (-6)\/1 - (-40495)\/6408?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 73882849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.32929ml in litres?\nAnswer: 0.01432929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -1, -5, 9\/2, 4, -0.1669?\nAnswer: -0.1669","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14573\/8998 bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -42752*y - 2. Let s(f) = -731*f. What is m(s(t))?\nAnswer: 31251712*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*c - 1874 + 191. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -438, -442, -448, -456, -466?\n\"Answer: -m**2 - m - 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 4*x**3 - 5*x**2 + 7*x - 13. Let b be n(6). Let z be (-17*3)\/(1\/(-37)). Suppose b + z = -g. Round g to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1163\/10521 + 2\/3507. Which is the biggest value?  (a) -48  (b) f  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-2))\/(2\/(17 + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 6*a**2 - 4*a + 1. Let d be y(-7). Suppose -4*h + d = -77. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r + 0*r - r**2)*(35*r + 368 + 372 - 742).\nAnswer: -35*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 10 - 90. Calculate the remainder when 27 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 106*(-128)\/(-44096)*6\/(-8).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**3 - 5*c**3 + 0*c**3)*(-c + 0*c + 6*c)*(c - c + c) + (-c**5 + 5*c**5 - 2*c**5)*(3 - 2 + 0) - 7*c**5 + c**5 - 4*c**5.\nAnswer: -23*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -3*i**2 - 74*i - 147. Give o(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16.8 + -2.8. Let f = -13.6 + z. What is the closest to 1\/9 in 1, f, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -96b6 (base 13) to base 9.\nAnswer: -31642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 53 + -55. Which is the biggest value?  (a) 0  (b) -2\/7  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-12 - (-3 + 9 + -14)) + 32\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (2\/((-480)\/18))\/((-543)\/1810)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -3*((sqrt(22)\/sqrt(2) + 1 - sqrt(11)) + sqrt(11) + sqrt(22)\/sqrt(2) + 1 + 2 + 3).\nAnswer: -26 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 1922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 9\/(-36)*-1401*(-24)\/(-1206) - 7\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3023 (base 8) to base 13\nAnswer: -928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a**3 + 3*a**2 + 3*a + 1. What is w(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*l**3 - 33*l**3 - 13*l**3 - 4*l + (-3*l**2 + 0*l**2 - l + 2*l**2)*(-1 + 1 + 2)*(-l + 1 - 1).\nAnswer: -37*l**3 + 2*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3985 a factor of 10164200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*m = 275 + 69 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20996245, 41992533, 62988821, 83985109, 104981397, 125977685?\nAnswer: 146973973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 800361 and 29643.\nAnswer: 800361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/4 + (-363)\/(-44)*-183. Let q = t - -2229. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(15)\/sqrt(5) + -1)**2.\nAnswer: 4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 71 + -65. Let u(w) = -3 - w**2 + 1 - 4 + 15*w - 2*w. Calculate the smallest common multiple of 20 and u(v).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.7 + 5.7. What is the third smallest value in 1\/5, -3\/8, 0, f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3300 by -4.\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11319.20843 - -11319. Round w to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from ncpyhgn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2834670.9 and -5.\nAnswer: 2834665.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.05097*5\nAnswer: -0.25485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 252357150 divided by -56850.\nAnswer: -4439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 54095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -120 - -117. Sort 3, n, -14 in decreasing order.\nAnswer: 3, n, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -0.027784616\nAnswer: 0.0083353848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -279505941 by 741.\nAnswer: -377201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 0 + -4 + (3 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 5*c + 5*h + 550 = 0, -5*c = -3*h + 534. Let j = 323\/3 + c. Is j != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, 5, -5, 81?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 35704946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 219828995.\nAnswer: 5, 709, 62011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 6*h**2 + 26 - 4*h**2 + 5.\nAnswer: 2*h**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -11407 divided by -1037?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11.18?  (a) 8.2  (b) 0.3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 52 = p - 17, -i - 3 = 0. What is the remainder when p is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -168 - -188. What is the remainder when 91 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.391 - -0.091. What is the third biggest value in x, -1, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -117 + (18 - (37 + -54)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 3*m - 36. Let x be j(12). Suppose x = 14*f - 2*f. Suppose -2*g = -v, -3*g - 2*v = 2*g - 9. Solve -i + 4*h = -0*h + g, f = 5*h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -4  (c) -11\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 1) + -1 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 169 and 77753.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 14 - 10 - (1 + -19). Suppose 2*d - 4*y - 172 = 0, 5*y + 243 = 5*d - 192. Calculate the greatest common factor of d and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 2*c**3 + 10*c**2 + 194*c + 1247. Give b(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -1.3571.\nAnswer: 6.7855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -643*s + 1274*s + 8 - 10 - 756*s - 10.\nAnswer: -125*s - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 518 = -3*d, -2*d - 2*x + 348 = -4*x. What are the prime factors of d?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1331*q - 482*q = 24027 - 98739 for q.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -88.9 + 34.9. Which is the nearest to -1?  (a) g  (b) 2\/15  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 360 - 385. Let k be 1240\/(47498\/95000 - t\/(-50)). Round k to the nearest one million.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1032204 - 3242144?\nAnswer: -4324403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.7 + 6.7. Let z(l) = -4*l + 12. Let q be z(13). Let m = q + 42. Which is the second smallest value?  (a) w  (b) m  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2167 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 7 + (125*(-54)\/135)\/(-2)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 - 10*m**2 - 10*m - 13. Let x be i(11). Let o be 1\/x*-2 + 2. What is the third derivative of 7*g**3 + 2*g**2 - 7*g**3 + o*g**5 wrt g?\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - (1 + -3)) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.09, -3, 1\/6, -7\/4.\nAnswer: -3, -7\/4, -0.09, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 82962795 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/284133 or 1?\nAnswer: -1\/284133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 34952748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6.758 + 0.242. Let p = -43.8 + 50. Let y = p - 6. Sort y, -2\/3, k.\nAnswer: -2\/3, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y**(-1)*y)**(-44)*y**1*y\/(y\/y**(5\/6))*(y\/y**(-2)*y)**14\/(y**(-8)*y*y*y\/(y**(-1\/7)\/y)*y*y) assuming y is positive.\nAnswer: y**(-1189\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 16656 - -6?\nAnswer: 16665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -380816 + 109954 = -43*p + 245654. Is p a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 9*z**2 + 4*z - 12. Let u(s) = 2*s**2 + s - 2. What is -m(q) + 3*u(q)?\nAnswer: -3*q**2 - q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 25*l**3. Let d be x(1). Let i = d - 21. Solve 2*o = i - 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-2\/61)\/a)\/a**17)\/(a*a**2)**(2\/53) assuming a is positive.\nAnswer: a**(-58666\/3233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 - 9*b**2 + 6. Let q be d(9). Let m be q\/(-27) - (-4)\/18. Solve m = l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/3 and 111\/284504?\nAnswer: 853512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -4*p**2\/9 + 16*p\/3 - 44\/9 = 0?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 + 3*m - 20. Let i be y(-6). What is the nearest to 1 in 2, i, -2\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/3 + -5*9\/27?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 46 in -13, 0.5, -5.74?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 4*l + 32, -f + 0*l = -2*l - 12. Let o(v) = 22*v**3 + v**2 - 6*v + 5. Let i be o(f). Suppose -303 = -4*b + i. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2 + sqrt(112) + sqrt(112)*-1)*-2 + (-2 + 1 + sqrt(112))*2)*-2*4)**2.\nAnswer: -6144*sqrt(7) + 30976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((280\/15)\/7)\/((-4)\/(-6)). Suppose -2*k + 343980 = -k - s*a, -5*k + 5*a = -1719975. Round k to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-5)\/(t\/(t**4*t)*t*t)*(t*t**1)**(1\/19))\/((t\/(t**0*t*t*t))**(-3\/20)\/(t*t*t**(-1))**9) assuming t is positive.\nAnswer: t**(1103\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4714?\nAnswer: 2, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -10, 675 in descending order.\nAnswer: 675, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 - 9. Suppose 3*r - n = 0, 2*r + 56 = 2*m + 4*r. Suppose -m = -d - 4*u + 3*u, 5*u + 180 = 5*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1227751 is divided by 332.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 464 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-1*(3 + sqrt(9)\/sqrt(3))*5.\nAnswer: -15 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1405 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1919 - -0.127. Let u = -0.065423 - k. Round u to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.14873172 minus 11?\nAnswer: -10.85126828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 24910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 665983487 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 10*x + 2. Let z be v(9). Suppose -2*f + f - 4*i + 34 = 0, -5*i + z = 4*f. Calculate the greatest common divisor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/2129018 and 109\/3588.\nAnswer: 166063404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1321 = 153*c + 97 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(660)*-2 - sqrt(660) - sqrt(660))\/sqrt(11) + (sqrt(480)*1)\/sqrt(8))\/(-6*(4*sqrt(1452) + sqrt(1452))).\nAnswer: sqrt(5)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 9891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from kbkkdikki.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qdq when three letters picked without replacement from gcdgaqxq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -236 + -36572?\nAnswer: -36818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(27)*-2 + 5 - (((sqrt(6)*1)\/sqrt(2) + sqrt(3))**2 - (-5 + (sqrt(3) - (sqrt(12))**2)))*2.\nAnswer: -50 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + j = -9. Suppose -2*c + f + f = -6, c = 3*f + j. Find the second derivative of 2*d**2 + c*d - 4*d + 5*d wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + -8 + 7 + (-3 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - 33200013?\nAnswer: -33200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 27 - 19. Calculate the greatest common factor of 32 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0030390435 to seven decimal places.\nAnswer: -0.003039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -2841250.\nAnswer: -568250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 + 1.2. Let s = -0.2 + v. Let o = 12 + -9. Which is smaller: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vhxbbhpbhhppppvp. Give prob of picking 2 h.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10211020 (base 3) to base 13.\nAnswer: -1365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-48 - 307 + 49)*(2*x**2 + 2*x**2 - 2*x**2) to c*x**2 + h + l*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qvkk when four letters picked without replacement from eyekekqeqeevvetey.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -0.0935, -1\/5, 1\/7, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2 + 13*s - 118. What is j(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) -253  (c) -1.0255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, r: 1, e: 1, n: 1, k: 4, q: 5}. What is prob of picking 1 n and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/(-10))\/(4893\/(-15145))?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of -h**8\/20160 + h**7\/945 + h**4\/24 - 55*h**3\/2 - 221*h**2. Let r(z) be the second derivative of f(z). Solve r(x) = 0 for x.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -6683319*u**2. Let h(d) = d**2. Give h(a(c)).\nAnswer: 44666752855761*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*n**2 + n**2 - 4*n**2 + (-4 + 2*n + 4)*(5*n - 5*n - n) - 25 - 52*n**2 + 28*n**2 + 22*n**2 as a*n + q*n**2 + h and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2174*b + 248*b + 125944 = 0 for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -571752, -2287013, -5145782, -9148059, -14293844, -20583137?\n\"Answer: -571754*n**2 + n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 20 = 9*z. Let p = 6 + z. Solve 3*n + p = -2*q - 0*q, 1 = n + 3*q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/22?  (a) 17\/7  (b) 4\/7  (c) 1  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*o - 8*o + 57*o + 3*o**2 - 1.\nAnswer: 3*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2 + 3*h - 94. Let t be v(8). Let y(f) be the first derivative of -f**2\/2 + 3*f + 51. Calculate y(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 + 9*a**2 - 7. Let t be m(-9). Let w = -11 - t. Calculate the remainder when 4\/((w\/11)\/(-2)) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 96*f - 2565. Calculate the remainder when 4561 is divided by z(27).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11)*-2 + -4 + sqrt(66)\/(-2*sqrt(6)) + sqrt(11) + 0)**2.\nAnswer: 12*sqrt(11) + 163\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 997248 + -551548. Round g to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2496 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 10490 = -q - 4*q, -3*q + g = -6302. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.01  (b) 1\/4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*q - 20*q**3 + 13*q - 68*q wrt q?\nAnswer: -120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 72*j - 5287. What is the remainder when 1159 is divided by m(74)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19580.\nAnswer: 2, 5, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * -1.7329.\nAnswer: 5.1987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + 4204?\nAnswer: 4203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from sruuu?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 99 = -59. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -45 + 37 - 57*f**3 + 97 wrt f.\nAnswer: -171*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*v + 504 = 36*v. Let f = -205 - v. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -49 + 145\/3. What is the second smallest value in t, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = 5*y + 20. Let h be 15\/y + 39\/(-2). Let b = h - -35. What is the remainder when b is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -3*g**2. Let u(r) = -r**2 + 4*r + 4. Let z be 473\/66 + (-1)\/6. Let h(p) = z*p - p - 3 - 9*p. Let l(y) = 4*h(y) + 3*u(y). Calculate l(i(x)).\nAnswer: -27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -4*i + 2. Let m(r) = 10*r + 2450. Determine -m(a) - 2*t(a).\nAnswer: -2*a - 2454","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (-42 + (51 - -5))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 101 (base 3) to base 13\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 6400, 6586, 6896, 7330, 7888, 8570, 9376?\n\"Answer: 62*b**2 + 6338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes before 10:34 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i + 4. Calculate q(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = j - 2. Let w be -1 - 3 - j\/(-1). Suppose 4*u - a = -20, -5*a + 29 + 11 = -5*u. Are u and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes after 8:19 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9932 and 616548?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the second derivative of -4*l**6\/15 - 5*l**3\/6 - l. What is the second derivative of k(c) wrt c?\nAnswer: -96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*d + d - 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 140 and 2255.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -399 + 93. Let q = 425.3 + a. What is q rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - m)*(-4*m**2 - m**2 + 3*m**2) - 23*m**3 - 116*m + 116*m + (-m + 2*m + 0*m)*(-m**2 - 2*m**2 + m**2).\nAnswer: -23*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 22 - (-1054 + 1097 + -7 + (2 - 2))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z - 7. Let g be h(-5). Let r = g - -19. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h + 4. Let v be z(-5). List the prime factors of v\/(57\/(-27) + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1045*l**2*u**3 + 79*l**2*u - 119065*u**3 - 20*u with respect to l.\nAnswer: 2090*l*u**3 + 158*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/2)\/((-7)\/70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and -0.012.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (44 + -1)*6 + -2. Let t(j) = 3*j + 521 - 265 - h. Let u(d) = 2*d. Give u(t(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w - 4 = -24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1.317507 grams?\nAnswer: 1317.507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 995042 divided by 1\nAnswer: 995042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 6841, 6884, 6967, 7090, 7253?\n\"Answer: 20*u**2 - 17*u + 6838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -27963*g**2. Let y(n) = 183*n. Give y(v(b)).\nAnswer: -5117229*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 13019 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 124 and 455762?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 55*p**3 - 4*p**2 - p - 3. Let q(f) = -2*f**3 + f**2 - f + 1. Give -m(u) - 3*q(u).\nAnswer: -49*u**3 + u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -5*a**3\/2 + 14375*a**2 + 491220*a + 2429280 = 0?\nAnswer: -28, -6, 5784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 + 5*f**2 + 2*f - 1. Let g be k(-4). Let z be g + -9 + (-1 - -3). Solve -6 = -3*h - z*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/999*(3\/(-1))\/((-117)\/39)*3.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 108363814 - -0.487.\nAnswer: 108363814.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3094400 by 32.\nAnswer: -96700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 69297?\nAnswer: 3, 23099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 13564971.1 and 3.\nAnswer: 40694913.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the third derivative of m**5\/60 - 7*m**4\/24 - m**3 - m**2. Let f be z(8). Suppose -f*a + i = 15, 0 = -5*a - i + 19 - 53. Is a != -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-115)\/(-345))\/((-2)\/24*-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -463 = 1312*w - 1292*w - 43 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 116999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 17182, -3\/4, -3, -28\/5, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1195*24\/28*7. Find the second derivative of -2*c**3 + 14300*c - u*c - 7222*c + 33*c**4 wrt c.\nAnswer: 396*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 20.38 + -20. Let c = 172.28 - 172. Let r = b - c. Is r != 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 23*w**2 - 2001*w + 32. Give g(87).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*d**4\/2 - 15975*d**3\/2 - 22796067*d**2\/2 - 3997365021*d\/2 - 1987292463 = 0. Calculate d.\nAnswer: -2561, -202, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2*(-1 + 3\/2). Let w be -3*(-10210)\/6675 - 4. Let g = w + 1\/89. Do k and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -2*f + 3. Let r(y) = 335*y**2 - 19*y + 16. Let a(i) = r(i) - 6*s(i). Find the second derivative of a(d) wrt d.\nAnswer: 670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:35 AM and 3:36 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in -4, 0, 2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 79, 8\/11, 3, 1\/5 in decreasing order.\nAnswer: 79, 3, 8\/11, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -844102 (base 9) to base 15.\nAnswer: -9d975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-120)\/9)\/(3\/(-9)). Suppose 5*q - d = 4*a, -q + 3*a - 27 = -2*q. What is the second derivative of 20*z**5 - q*z**5 - 11*z**5 - z wrt z?\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the second derivative of -7\/120*u**6 + 0*u**2 - 3\/8*u**4 - 2\/3*u**3 - 5*u + 1\/4*u**5 + 0. Let f(p) be the second derivative of q(p). Factor f(a).\nAnswer: -3*(a - 1)*(7*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001712 rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 11025413 - -2?\nAnswer: 11025415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.03038 + -0.02958. Let m = 3.7 + -1.7. Let y = l - m. What is y rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2299) + -1 + ((sqrt(2299) + -2*sqrt(2299))**2 - sqrt(2299)) - sqrt(2299))*-1 + 4 + (sqrt(2299) - (-1 + sqrt(2299)))*2.\nAnswer: -2292 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 + m. Let t(c) be the first derivative of -c**4 - 2*c**3 + c**2 - 2. Let l(p) = 3*t(p) - 6*v(p). Find the third derivative of l(h) wrt h.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -627 divided by -148.\nAnswer: 627\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001103865 to 6 dps.\nAnswer: -0.001104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.140689 to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15.94 - 16. Let x = -2\/143 - -300\/1001. What is the third smallest value in 0.2, x, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 0.045, 0.5, -0.01, 0.2, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -7078617 - 5.97729\nAnswer: -7078622.97729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 - 6 = 3*y + w, 3*y + 5*w = -31 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-4)\/3)\/((-2)\/(-6)). Suppose o = -4*k - 27, -7*o = -3*o + 4*k + 72. Calculate the remainder when 23 is divided by 1 + (0 - (o - y)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61193293183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(25)\/(sqrt(875)\/sqrt(7)) - (-1 + 4*sqrt(605))) + -4)**2.\nAnswer: 1314*sqrt(5)\/5 + 48006\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -36 - -67. Let b = -24 + g. Let v(h) = 2*h - 8. Give v(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 414567, 414561, 414537, 414489, 414411?\nAnswer: 414297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/6*5\/((-25)\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, z: 11, a: 2, f: 1, v: 1, p: 1}. Give prob of sequence par.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 6*sqrt(475).\nAnswer: 3 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**13*q*q)**(1\/17) assuming q is positive.\nAnswer: q**(15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2257*y - 1478*y - 687*y + 208*y - 15*y - 45*y + (-3 + 6 - 2)*(-3*y + 2*y + 3*y).\nAnswer: -4272*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -83 + 9. Let u = n + 53. Let s = u - -25.6. What is s rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -56, -47, -38, -29?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 105705\/22 - 4802. Find the common denominator of j and -2*29*(-5)\/100.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1385 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 23783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -3349900 to the nearest 10000.\nAnswer: -3350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 3*h = 0, 2*h = -4*u + 7*u + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -w**3\/4 - 4925*w**2\/4 - 1559918*w - 107409937 = 0?\nAnswer: -2426, -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26161451?\nAnswer: 29, 902119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -139043, -139024, -138979, -138896, -138763, -138568?\nAnswer: -138299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -9120 plus -5?\nAnswer: -9125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 77376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 64 - -617229840040\nAnswer: 617229840104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -3*s**3 - 2*s**3 - s - 2 + 1 - s. What is the units digit of v(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of x**4 - 591*x**3 + x - 187888 wrt x.\nAnswer: 4*x**3 - 1773*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176) + (sqrt(176) - sqrt(176)*-1) + 0)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 9127750 and -5.\nAnswer: 9127745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 23411534731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 1\/33, -5\/4, 9, 3?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 73355, -41, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the first derivative of 1459*i**5\/5 + 5*i**3\/3 - 82*i + 217. Find the third derivative of s(r) wrt r.\nAnswer: 35016*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/(-2) + (-119 + 215 - 59)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 917132443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 less than -591?\nAnswer: -591.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*q - 3*q - 112321 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3182 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 - 22*r + 5. Let w be x(22). Which is smaller: 45\/8 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 - (2 - -1) - 2. Let z(g) = g**2 + 6*g + 7. Let m be z(d). Let w be (-2)\/8 + 75\/60. Which is greater: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1114687145.2 rounded to the nearest one million?\nAnswer: 1115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1062 a factor of 283352790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11106.993 - -11113. Let q = -16 + 16.007. Let b = q - d. Put 0, 2\/7, b in descending order.\nAnswer: 2\/7, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 859 minus -220739?\nAnswer: 221598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-2) + (75 - 77) + 11 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 2. Let m be (-1 - g)\/((-6)\/45). Let q(p) = p**2 - 3*p + 6. Let d be q(4). What is the greatest common divisor of m and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46 + -306. Let q be (4\/10)\/(4\/w). Is -2 + 1 - 0 - q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*f**2 - 3*f**3 - 21*f**2 + 2*f**3.\nAnswer: -f**3 - 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*n**3 + n**2 - n**2)*(18*n - 2463 - 4*n**2 + 2463).\nAnswer: 20*n**5 - 90*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-2)\/(-2))\/((-70)\/147*-7))\/3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8115 less than 6.9?\nAnswer: 6.0885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 + 16*t + 7. Let y be n(-9). Let o = 87 + y. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3*(-2 - (0 - 3)). Let y(v) = v - b*v + 3*v - 4*v**2. Suppose 1 = 2*d - 1. What is y(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30010 (base 4) to base 14\nAnswer: 3d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -646, -1723, -3046, -4621, -6454, -8551, -10918?\n\"Answer: -y**3 - 117*y**2 - 719*y + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 319399070 rounded to the nearest one million?\nAnswer: 319000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.04 + -1.96. Let k = m - 0. Let v = 1.9 + -0.9. What is the closest to 1 in -5, v, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4355896 is divided by 2210?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 = 8*k + 140. Suppose -b + 19*b - 20718 = k. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 470206 - 469865.797. Let w = y - 340.19399996. Let n = w + -0.009. Round n to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7508*p**2 - 1755*p + 1755*p + 12421*p**2.\nAnswer: 19929*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n**3\/5 - 20*n**2 - 336*n\/5 = 0. Calculate n.\nAnswer: -21, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1783748 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 20, 62*s - 56 = 66*s - 4*n. Let u(d) = -12*d**2 - 2. Let y(f) = -49*f**2 - 9. Give s*u(p) + 2*y(p).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d - 1. Let p(v) = -7*v + 2. Give -2*f(u) - p(u).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 1.6, 18.\nAnswer: -2\/3, 1.6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b. Let a(w) = -39*w**2 - 117*w. Calculate -a(k) - 117*l(k).\nAnswer: 39*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1406184591?\nAnswer: 3, 7, 233, 287387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001646 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0004473409274 rounded to 7 decimal places?\nAnswer: 0.0004473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - 0 - -6) + (11 - -1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (-3 + (-3 - -14) + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 393249306?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m + 1 - 1)*((-1 + 2*m**2 + 1)*(-3 + 3 - 2) + 0*m + 0*m - m**2 - 2*m**2 + 2*m**2 - m**2 - 9 + 9 + m**2).\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q**3\/7 + 120*q**2\/7 - 153*q - 378.\nAnswer: -3*(q - 21)**2*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 133 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4 - 8\/(-4))\/(5 + -3). Let f be (-690)\/(-9) + b\/(-3). What is the highest common factor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -i - i + 12, 5*i - 45 = -2*m. Suppose -6*b = -i*b. Solve 4*r = -3*h + 19, 2*h - 5*r + 18 + 0 = b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25208 is divided by 191.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -12 + 18 + (17\/(-3) - (-5 + 6)). Which is the nearest to -0.2?  (a) 0  (b) r  (c) 123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the third derivative of p**7\/210 + 23*p**6\/600 + p**5\/10 + p**4\/30 - 4*p**3\/15 + 12*p**2. Factor u(m).\nAnswer: (m + 1)*(m + 2)**2*(5*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 23*j + 13170 - 136933. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-336)\/(21\/(-3)) - 77*40\/(-440).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 45459, 45950, 46451, 46968, 47507, 48074?\nAnswer: 48675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*y = -19*y + 10. Put y, 1, -1\/8 in descending order.\nAnswer: y, 1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1030432 is divided by 1306.\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 274a - -6c47?\nAnswer: 9694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 1:19 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*a + 2 + 6*a + 0 as j + q*a and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -4, -34320 in increasing order.\nAnswer: -34320, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 418000144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 130061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 61.862 - 1.222. Let f = 1.14 - c. Round f to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1252624068 to the power of 1\/2, to the nearest integer?\nAnswer: 35392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.013332 to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, 6, 0.86, -3, 7, 5, -4.7?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(160) - (sqrt(160) - -1*sqrt(160)))*-6 + -4*(sqrt(160) - sqrt(160)*2) + sqrt(160))\/(sqrt(50)\/(sqrt(70)\/sqrt(7))*2).\nAnswer: 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9159132kg in micrograms?\nAnswer: 915913200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 4*i - 20616, 4*i + 103248 = 5*r - 0*r. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000360274 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -2*z**2 - 36*z + 52. Is k(-19) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (o - 3*o + 3*o)*(-3 - 1 + 2) + 5*o - o + 0*o - 3 + 3 - 3*o to the form i + n*o and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 5\/2 - 9\/18. Suppose -3*i + 495 = 5*j + 2*i, 210 = x*j - 4*i. Let q = j + -91. Calculate the remainder when q is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 52\/240095 and -12\/596365.\nAnswer: 18487315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.9 in -3\/20, 4, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -283*i - 4331. List the prime factors of f(-68).\nAnswer: 3, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -717455 divided by 5\nAnswer: -143491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -7*j - 12 - 24, 2 = -3*g - j. Factor -g - 1\/4*d**2 - d.\nAnswer: -(d + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/46 and 83\/414.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 - 11*a**2 + 23*a - 27. Let i be o(-13). Suppose -43*k - i = -55. Put -4, k, -22 in increasing order.\nAnswer: -22, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -4*t + 58, 8*y - 42 = -3*t + 7*y. Solve 0*z + 5 = 4*n + z, 3*z + t = 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13, 237, 661, 1265, 2055, 3037, 4217?\nAnswer: 5601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2 = -3*v - r, 0 = -4*v + r + 28. Let a(y) = -v*y + 1011 + 6*y**2 - 1011. Let g(h) = 2*h**2. Determine a(g(u)).\nAnswer: 24*u**4 - 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 41 + -38. What is the remainder when 13 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(352)\/(sqrt(539)*4 - sqrt(11)))\/((sqrt(2268) + sqrt(2268) + (sqrt(2268) - -3*sqrt(2268)) + sqrt(2268))\/sqrt(7)*-6).\nAnswer: -sqrt(2)\/5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -5*n**3 - 2*n**2 - n + 2. Suppose 5*a + 68*d - 1 = 72*d, 2*a - 5*d + 3 = 0. Determine o(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7117?\nAnswer: 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3611 and 21298?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 47\/72 - 2501\/1368. Calculate the common denominator of t and 14\/5.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/35973 and 5\/35973.\nAnswer: 35973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30995?\nAnswer: 5, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 207 = 139*g + 1319 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 3*a**3 + 10*a - 20. Let b(g) = -2*g**3 + g + 2. Let x(d) = -4*b(d) + f(d). What is the first derivative of x(w) wrt w?\nAnswer: 33*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**2 - 16*s - 53. Let d be l(19). Let r be (-1*(-2 - -2))\/(-3). Suppose 6*m - 5*m - 10 = r. Put d, -2, m, -1 in ascending order.\nAnswer: -2, -1, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*h - 42*h + 55*h + 1120 = 0. Calculate the greatest common divisor of 4424 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-1 - 6) - (24 + -29 + 9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 2) + 7 + (55 - (-4 - (-61 - 5))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -11831 divided by -11?\nAnswer: 11831\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5863, -5448, -5041, -4648, -4275, -3928, -3613?\nAnswer: -3336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 2613788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, t: 2, z: 1, l: 1, n: 2}. Give prob of sequence lt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2\/4051 - -12163\/20255. Factor 6\/5*y**3 + 0*y + 0 - h*y**2 - 3\/5*y**4.\nAnswer: -3*y**2*(y - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -6867*a + 7435. Is z(-60) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (12\/16)\/((-1)\/12). Is (h\/3)\/(3\/(-21)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 35 = -0*c - 4*a, -a = -5*c + 20. Solve 4*z = c + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1800 and 218484?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - -54279?\nAnswer: 54282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 75 and 290.\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kbbbk. What is prob of picking 1 b and 2 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 1 - (-8 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*c + 3 + 10*c - 4*c + (c + 0*c + 0*c)*(-3 + 4 - 3).\nAnswer: 7*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22066 and 27991724?\nAnswer: 2006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*i - 2*i - 2*i**4 + 3*i**4 + (-2*i + 6*i - 3*i)*(3*i**3 + i**3 + 0*i**3).\nAnswer: 5*i**4 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2220054.02700054 - 2220054. Let n = -56 - -55.973. Let r = n + b. What is r rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (57\/(-152)*(-22)\/(-33))\/(10\/(-104)).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 46 - 63. Suppose 0*z - 5*z + 12 = -r, -16 = 4*r - 4*z. What is the tens digit of ((-1)\/r)\/(p\/(-1156))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/14 and 73\/651.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.08 + -0.78. Let g = r + 3.7. Let s = -12345.05 - -12345. What is the third smallest value in s, g, 2\/17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1119710 rounded to the nearest 10000?\nAnswer: 1120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1221 (base 6) in base 10?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -1\/3, -10, -1\/4 in ascending order.\nAnswer: -10, -1, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -645 - -663. Put c, 1, 3 in descending order.\nAnswer: c, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 463 and -0.21.\nAnswer: 462.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 2*v + 2)*(-196 + 176*v + 196 + 943*v)*(-12*v - 27*v + 7*v) as h*v + x + n*v**2 + r*v**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 20500331 a multiple of 779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 18\/(-4)*12\/(-9). Let o(a) = a**2 - 6*a + 4. Let n be o(v). Is 3 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(1\/2)*q)\/(q\/(q*q\/(q**(1\/3)\/q)))*q*((q*q**(3\/7))\/q)\/q*q*q**(-3\/4))\/((q**(-2\/3)\/((q\/(q\/q**(1\/2)))\/q))\/(q**1)**(24\/7)) assuming q is positive.\nAnswer: q**(709\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 3*g + 31. Let v be b(-9). Suppose -4*a - 272 = -2*n - 2*n, 0 = v*n - 5*a - 268. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 529.9517s?\nAnswer: 529951700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, 61, 284, 735, 1492?\nAnswer: 2633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 480724 is divided by 276.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2954*q**2 - 1175*q + 8. Let u(l) = 5906*l**2 - 2334*l + 18. Let h(f) = 9*p(f) - 4*u(f). Find the second derivative of h(y) wrt y.\nAnswer: 5924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14396 is divided by 266.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rata when four letters picked without replacement from tadnrnnannnnadnadann.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 27.8*-0.3\nAnswer: -8.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -311 + 325 = 17*n - 292 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 456*w + 86 = -461*w, -2*u + 6*w = 8 - 100 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r - 17. Suppose 5*n = -4*j - 11, j + 2*j = 2*n + 9. Let h(l) = 4 - 2 - j - 5. Give 9*h(d) - 2*o(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2 - (-6 - -4))\/1. Suppose c = 5*l + 3*y - 710, -3*l + 17*y - 19*y = -426. What are the prime factors of l?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 70\/(-17) + (-26)\/(-221). What is the tens digit of (-1694)\/(-33) + f\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 61*x**2 + 5*x + 11. Let m(a) = -a**3 - 2*a**2 - a + 2. Let u be m(1). List the prime factors of f(u).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2950 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8143?  (a) 4  (b) 2  (c) 3  (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 30 = 5*b, b = -4*b + 15. Let z(u) = 3*u - 2. Let g be z(2). Suppose -g*y = -t*y - 18. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sdszrbm. What is prob of sequence sr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 4*t. Let v(u) be the third derivative of u**5\/5 - 163*u**3\/6 - 6*u**2 + 10. Let w(c) be the first derivative of v(c). Give w(l(x)).\nAnswer: 96*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 105817642?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 529*f + 660*f = 1280 + 1705 + 5338 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -3*a**2 + 45*a - 324. Determine q(12).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -8 divided by 16\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lfb when three letters picked without replacement from afwlb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 51 and 3516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20980 is divided by 20879?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/u**(4\/5))\/u*u\/((u\/(u*u*u**(-11\/5)))\/u))\/((u**(6\/11)\/u)\/(u**(-7\/3)*u*u)))**26 assuming u is positive.\nAnswer: u**(104\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-636)\/(-12720)*(-16)\/10*(-55)\/(-33)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -7*v**3 - 2*v**2 - v + 2. Give i(-2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 126\/(-29) + 7 + -2 + -1. Is x at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -216*r - 274*r + 323*r - 5845 = 0 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 107866080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 794, 797, 798, 797, 794?\n\"Answer: -i**2 + 6*i + 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.1  (b) 1\/3  (c) 9618  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -15189, -15322, -15459, -15594, -15721, -15834, -15927, -15994?\n\"Answer: v**3 - 8*v**2 - 116*v - 15066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes before 4:03 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1569 from -2.\nAnswer: -1571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 348, 746, 1144, 1542?\nAnswer: 1940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 - 5*o**2 - 9*o + 23. Suppose -2*c - 2*c + 4*z + 8 = 0, 14 = 3*c - z. Let l be b(c). Put l, -0.08, -3 in increasing order.\nAnswer: -3, -0.08, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-23)\/(184\/32)*2\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-288)*-6*(-45)\/(-60).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 20029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -142\/5 - -28. Sort -1\/4, s, -3\/5.\nAnswer: -3\/5, s, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 594 = -3*u, -4*u - 5*l = -0*u - 797. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 4*c + 4. Calculate w(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (57\/(-12) + -1)\/(16\/(-704)). Let k = f + -237. Solve -3*h = 2*q + k, -3*q = 2*q - h + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 107547383?\nAnswer: 59, 1822837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 d, and 1 l when three letters picked without replacement from dfddaffaaadffal.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n. Let m(i) = -i + 2. Let l(s) = -s + 0*s + 3*s - 2 - 3. Let x(j) = 2*l(j) + 5*m(j). Calculate x(d(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24085?\nAnswer: 5, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 201 (base 5) to base 8\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4749a (base 11) to base 6.\nAnswer: 1245002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 0*y - 4 = 0. Is 19\/2*(y + 6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of w**6\/300 + 22*w**5\/75 - 19*w**4\/12 - 46*w**3\/5 + 2512*w**2. Factor s(c).\nAnswer: 2*(c - 3)*(c + 1)*(c + 46)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 184*v = 179*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32671 is divided by 63.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 - 6*n + 4. Let y be p(6). Suppose 4*j + y*x - 73 = j, 4*j = 5*x + 87. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**3 + w**2 - w - 2. Let p be f(-2). Let m be (5 - (-4 - -8))*37 - 1. Calculate the greatest common divisor of m and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 7*h + 4. Let z be s(4). Suppose -4*w - 3*v + z = -7*v, 3*v + 12 = 0. Let t(k) = 2*k**2 + 40*k + 97. Let q be t(-3). Put q, -3, w in increasing order.\nAnswer: q, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1312, 4688, 10312, 18184, 28304?\nAnswer: 40672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*f + 312 - 236 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 134 + -1?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = l - 25, 3*l + 3*o = 1 + 2. Solve 3*d - 2 = -5*v + 6, l*v - 2*d - 28 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (12*t + 5*t - 23*t)*(-3*t**3 + 2*t**3 + 0*t**3) in the form c*t**4 + n + f*t + r*t**3 + o*t**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/6075 in 48\/7, 2\/7, -0.7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24919, 24921, 24923, 24925, 24927, 24929?\nAnswer: 24931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 177 - 104. Calculate the remainder when y is divided by (-171)\/12*(24\/(-9) + 0).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w, 1 t, and 1 u when four letters picked without replacement from twuwtu.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n**0*n*n)*n*n*n)**(-27)*(n*n*n**(-1\/4)*n*n)**(-30)*(n\/n**(-1\/2)*n*n*n**(5\/2)*n)**(-34\/3) assuming n is positive.\nAnswer: n**(-1475\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 205494.\nAnswer: 2, 3, 29, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.267645 and 232.9.\nAnswer: 234.167645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 4*n**2 - 5 + 11*n**2 + 5.\nAnswer: 7*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -25, 49, -5, 1\/5, -59 in ascending order.\nAnswer: -59, -25, -5, 1\/5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 11*i - 10. Let j = -395 - -396. Let h(n) = 2*n - 2. Let b(y) = j*m(y) - 5*h(y). Let s(w) = -2*w - 139. Give s(b(p)).\nAnswer: -2*p - 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.084, -13\/6, 4, -2, 0.1, 6 in decreasing order.\nAnswer: 6, 4, 0.1, 0.084, -2, -13\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20755912*v**4 - 20971819*v**2?\nAnswer: 498141888*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -1\/2, 0.1, 1819?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5358)\/50 - 55076\/(-344225)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 + 6 - -11) + -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -139, 0, 4 in ascending order.\nAnswer: -139, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**3\/7 - 35638*w**2\/7 + 496874*w - 12156606.\nAnswer: 2*(w - 17721)*(w - 49)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -21097  (b) 0.4  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9961676393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 802, 784, 766, 748?\n\"Answer: -18*c + 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 5 = 4*q + 1, 5*q + 20 = 0. Suppose 3 = u*d - 7. Suppose -a = -d*a + 44. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes after 9:19 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2\/3, -0.5, -0.3 in ascending order.\nAnswer: -3, -0.5, -0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 3\/32  (b) -345  (c) 0  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 6*a**3 - 2*a**2 + a - 1. Let r be z(2). Suppose 2*h = 5*v + r, 0*h = h + 2. What is the units digit of (2\/3)\/((-6)\/v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -41 + 43. Suppose 3*k + 5*w + 19 = 0, 3 - 7 = c*k - w. What is the fourth smallest value in -1, -0.5, 2\/9, k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 68*v - 1225. Let g be u(18). Which is smaller: g or 11\/295?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -242*p**3\/15 - 1454*p**2\/15 - 1222*p\/15 - 2\/3 = 0.\nAnswer: -5, -1, -1\/121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/2275 and 61\/387075.\nAnswer: 2709525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 220544403*d**2 - 196181923*d?\nAnswer: 441088806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide ((-2)\/(-3))\/(31\/4630284*36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17047 is divided by 598?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 242\/((6 - 34\/6)*6). Differentiate k - 275738*h + 139 + 275622*h wrt h.\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {i: 1, e: 1, d: 5, u: 3}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 113 = b, l - 2*b = -0*l - 40. Let y = l - 5. Is y at least as big as -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -36 - -26. Put g, -3, -2 in ascending order.\nAnswer: g, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -22.614 - 0.286. Let d = -22 - h. Let f = d - 0.8995. What is f rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1920) - (sqrt(30) + sqrt(60)\/sqrt(2)*5))\/((1*sqrt(294)*3 - sqrt(294))*-5).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b - 19*b + 20 = 0. Find the second derivative of 4*a**b + 0 + 42*a**2 - 2 + 175*a**2 - 19*a**2 - 79*a wrt a.\nAnswer: 404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2 + 2)\/1 + -2. Let z be ((-8)\/16*m)\/(1\/2). What is the nearest to 0 in z, 0.9, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -4*q + 12. Let w = 80 - 77. Let l be f(w). Suppose l*j - 249 = -3*j. What are the prime factors of j?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 842314528 to the nearest integer?\nAnswer: 29023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2046*k**2 + 601*k**2 + 517*k**2 + 526*k**2 + 503*k**2.\nAnswer: 101*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 3*i**3 + 6*i**2 - 6*i**3 - 1 + 4*i**3 + 7. Suppose 2*z + 4*p + 24 = 0, 25*p = -5*z + 29*p - 18. Give b(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*8\/(-5) + (-1)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1110?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y + 4*y - 3*y)*(20 + 67 - 12 + 4 - 4 + 2 + 1 - 4 + 1 + (0 - 1 - 2)*(2 + 0 - 3)).\nAnswer: 156*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of 1511*c**7\/42 - c**5\/20 - 17*c**4\/12 - 3*c**3\/2 - 182*c - 4. Find the third derivative of p(l) wrt l.\nAnswer: 90660*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18 - -23 - -11) + -42 + -13.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 465*q**4 + 274*q.\nAnswer: 5580*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**2 + 5*j + 2. Let a be h(4). Let b(f) be the first derivative of -f**4\/4 - 10*f**3\/3 + 9*f - 4. Let r be b(-10). Solve a*t = 3*t - r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h + 6. Suppose 4*a + 4 = 4*s, 4*s + 24 = -4*a + 4. Let o be z(a). Let t(x) = 10*x + 8. Let k be t(o). What is the highest common divisor of k and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 4*l**2. Let s(z) = 9*z**2 - 13*z + 13. Let y(x) = 4*x**2 + 0*x**2 - 6*x + 25 - 19. Let r(f) = -6*s(f) + 13*y(f). Calculate j(r(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.706 + -0.706. Let c be 8\/(-16) + (-2)\/(-12). What is the nearest to t in c, 0.2, -13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -48\/103675 and -19\/78.\nAnswer: 622050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 - 9*w + 2. Let m be n(9). Let p be (975\/m)\/(9\/(-192)). What is p rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1095?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 70 and 208460.\nAnswer: 208460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1086 and 33.1567.\nAnswer: -3.60081762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -3960 divided by 110\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 9 + 378a?\nAnswer: 3796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2267 by 2267.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j - 26 + 36. Suppose 5*r = 5, -4*r + 3*r + j = 4*m. Solve 4*l + m = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**5\/13 + 2*m**4\/13 - 2*m**3\/13 - 2*m**2\/13.\nAnswer: 2*m**2*(m - 1)*(m + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**2 - 19. Suppose -4*o - 8 = -3*n - 8*o, -3*n + 10 = 5*o. Let r be q(n). Let u = -13 - r. What is the lowest common multiple of 7 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 207711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -143*p**3 - 13*p**2 + 45*p - 165. Let x be o(4). What is x rounded to the nearest 100?\nAnswer: -9300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 426600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/2, 123, -16, 9233 in increasing order.\nAnswer: -16, 3\/2, 123, 9233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 - j - 3. Let x be g(2). Let w(q) be the first derivative of -2 + 3\/10*q**4 + 2\/3*q**x + 2\/5*q**2 + 0*q. Suppose w(p) = 0. What is p?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 100 = -28. Calculate the remainder when (12\/36)\/((3\/(-846))\/(-1)) is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 2\/541 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 75\/30*8\/10. Solve 5*y + 10 = -5*b, -3*b = -y + d*y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -3*p + 4*p + 2*p - p**2 - p**3. Let f(b) = -b + 5. Let q be f(8). Calculate j(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1739*y + 456*y - 641*y)*(-5 + 3 - 1)*(-5*y**3 + 0*y**3 + 3*y**3).\nAnswer: -11544*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.9 - -0.9. Put 5, a, -1\/7 in descending order.\nAnswer: 5, -1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 32195, 3, 9, -0.3, 0 in decreasing order.\nAnswer: 32195, 9, 3, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 627 + 2*z - 3*z - 191 + 37*z**2.\nAnswer: 37*z**2 - z + 436","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -70a - 9?\nAnswer: -718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -643 + 29*d + 643 + 13*d + 3*d**2 to o + g*d**2 + z*d and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -112 + 116. What is the highest common factor of y and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10)\/((-6)\/(-21) + 0). Let l = v + 61. Suppose 0 = x - 3*g + 10, 3*g = x + 4*x + l. Sort x, 1, -5 in increasing order.\nAnswer: -5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 120.515 - 120. Let y = 0.095 + w. Round y to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 10, d: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*y + 24*y - 930. Suppose x = 11*x - y. What is the lowest common multiple of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1384*i**2 + 3*i - 6213.\nAnswer: 2768*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 988012 is divided by 169.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 314.7 from -0.1584861.\nAnswer: -314.8584861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4\/3)\/(13\/12 - 1). What is the highest common divisor of 112 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 12 + (-16 - -14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 13*i - 1. Let v(t) = 2*t - 9. Let g be v(7). Suppose -g*l + 72 = -l. Calculate the smallest common multiple of x(1) and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 10 - 2*k + 8*k - 5*k. Let q be j(-9). Let m = 219.3 + -219. Which is the closest to 0.2?  (a) -4  (b) m  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 5*w - 1. Let i(v) be the first derivative of -2*v + 5\/2*v**2 + 19. Determine 4*f(s) - 3*i(s).\nAnswer: 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 5*j**3 + j**2 - 12*j + 4. Let o(f) = -4*f**3 + 11*f - 3. Let p(y) = -6*o(y) - 5*v(y). Suppose 5*q - 2*q = -12. Does 2 divide p(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 7*b + 4. Let c(w) = w. Give c(v) - o(v).\nAnswer: -6*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**0*h*h\/(h\/h**13))\/((h*h**(-12))\/h**(-1\/5)) assuming h is positive.\nAnswer: h**(124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + (4 - 4) + 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/14)\/((-4)\/56). Suppose -s*a + 2*f = -a - 12, 0 = -5*a + 5*f + 25. What is o in 6\/5*o**3 + 0 + 0*o - 2*o**4 + 4\/5*o**a = 0?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 2*s - 42140, -21*s = -40*s + 5*q + 400348. List the prime factors of s.\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4372?\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -3*a. Let z(r) = 22585221*r**2. Determine z(w(n)).\nAnswer: 203266989*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/708 and -73\/22396.\nAnswer: 3964092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 244058373?\nAnswer: 3, 13, 695323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 140129383?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 0.4, 8\/439, 312.1 in ascending order.\nAnswer: -0.1, 8\/439, 0.4, 312.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2*j**3 - 9*j**2. Suppose 6*n - 9 = 3*n + 3*w, -7 = -4*n - w. Let l(k) = 0*k**2 - 6*k**2 + 3*k**n - 2*k**2 + k**3. Calculate -5*l(f) + 3*m(f).\nAnswer: f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3374)\/(-77) + (-6)\/(-33). Let q = 50 - s. Find the third derivative of 10*h**2 + 7*h**q + 2*h**2 + 0*h**2 wrt h.\nAnswer: 840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(-18))\/(265\/(-18020)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2*k**3 - 16*k**2 + 14*k - 1. Let x be v(7). What are the prime factors of (8805\/25 - x\/(-5)) + 2?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 - 10. Let w = y - -6. Let s = 8 + -8. Put -0.1, s, w in descending order.\nAnswer: w, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u. Let b = 17 - -1. Let c(i) be the second derivative of 4*i**3\/3 + 2*i. What is b*n(h) - 2*c(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 - 2*m + 3. Suppose 0 = -4*g + 8, -2*g + 12 = -p + 5*p. Give v(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7488 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 306000 and 51000?\nAnswer: 306000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 89739112 to the nearest 10000.\nAnswer: 89740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -9 + 17 + a - 8. Let n(v) be the first derivative of -v**6\/180 + v**3\/3 + 3. Let y(m) be the third derivative of n(m). Give y(f(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 197920236.\nAnswer: 2, 3, 16493353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -708*k + 966 - 3798 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-1))\/((-5670)\/(-4455)).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3447488026 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.131?  (a) 746  (b) -2\/11  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -96, -5, 189?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 39 + -34. Suppose -2*m + 7*m + 2*p = 11, -h*p + 17 = 2*m. Let i = 3093\/11 + -281. Is m bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n**2 - 2872*n + 2062096 = 0. Calculate n.\nAnswer: 1436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1621*k - 7 + 7.\nAnswer: -1621*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10952\/3 + 296\/3*x - 2\/3*x**2 = 0. Calculate x.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0123479693 rounded to 5 dps?\nAnswer: 0.01235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 335529409 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -1\/596290?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/90 and -23\/4266.\nAnswer: 21330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 2. Let z(o) = 0*o**3 - 4*o**2 + 2*o**3 - o + j - 3*o**3 - o**2. What is z(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*x - 3*x + 0*x)*(3*x - 3*x + 7*x) + 11*x**2 - 3*x**2 + 2*x**2 to y*x + i + w*x**2 and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes after 4:46 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 589*n + 18664 = 597*n. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13 + -12)*(-6)\/24.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = j + 32, 0*j - 122 = -4*f + 2*j. Let x be (-11)\/((-1)\/(-12)*4). Let i = -18 - x. Calculate the remainder when f is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -205*y - 4344 = -386*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 21174411997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 28*c*f**2*q**2 - 9*c*f**2 - f**2*q**2 - 3*f*q**2 + 10*f*q wrt q?\nAnswer: 56*c*f**2 - 2*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 132729926, 265459848, 398189770, 530919692?\nAnswer: 663649614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 687 + -571. Calculate the remainder when 224 is divided by c.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -2*x**3 + 363*x**2 - 530*x - 1814. Give u(180).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*q**4 + 3*q + 0*q + 2*q**3 + 1 - 2 + 3*q**4 - 23*q**2 + 25*q**2 to o*q**2 + l*q + u*q**4 + t*q**3 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000464064 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of -97*n**3\/6 + 69*n - 22. Let m(f) = 7*f. What is m(r(a))?\nAnswer: -679*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -3*g**2 + g + 8. Let y(z) = -7 - 8 - z**2 + 17. Let s(a) = 2*t(a) - 9*y(a). Determine s(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22 + (-90)\/(-60) - 2*2\/(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 - 9. Suppose 2*l = 4*u - 128, 4*l - 2*l + 5*u + 173 = k. Let z = 79 + l. Sort 2, -1, z.\nAnswer: -1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2, 80, -5, -4 in increasing order.\nAnswer: -5, -4, 2, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-41*s + 116*s + 110*s - 1153*s - 708*s)*(1 + 2 + 0) in the form j*s + n and give j.\nAnswer: -5028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-12)\/33*4\/1. Let s be (60\/66)\/((-12)\/17). Let q = s - m. Put 4, -5, q in increasing order.\nAnswer: -5, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2*t**3 - 5*t**2 + 32*t - 1. Let x be c(0). Let m = -0.124 + 0.15. What is the fourth smallest value in m, 5, -0.4, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 27*m + 762. Let x be q(-28). Solve x*h - u = 7*h, 0 = 4*h - 5*u - 45 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -2 + (-20 - 10) + -1 + 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 991, 1202, 1411, 1618, 1823, 2026, 2227?\n\"Answer: -y**2 + 214*y + 778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4310052193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 72 and 717900?\nAnswer: 4307400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 104 = -3*m + 20, 4*f - 104 = -4*m. Let j = 31 + f. Calculate the highest common factor of j and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -106*r - 344. Calculate w(-2).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -2*f**2 + 61*f + 253. Determine c(34).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -142, -272, -386, -484, -566, -632?\n\"Answer: 8*t**2 - 154*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 1100 = -7*n, -16*c - 4*n - 880 = -20*c. Calculate the least common multiple of 4 and c.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/5 in 0.3, 0.138, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 334044808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 2*a + 7 = -4*w - 33, -8741 = w + 2*a - 8758 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4 - 10 - 16*u + 6 + 4*u**2 wrt u?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, 1, 1\/66, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14 - -6. Suppose -u = 5*c, s = 5*s + 3*c - 8. Let a(q) = -q + 1. Let i be a(-1). Solve -4*z + 4 = -v - s, -v - i*z = 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 127, 491, 1097, 1945?\nAnswer: 3035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 137.7539522 to the nearest integer.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**4 + c**2 - c. Let r(f) = 4*f**4 + 2*f**2 + 12*f. Let d(p) = r(p) + 2*w(p). What is the second derivative of d(k) wrt k?\nAnswer: 72*k**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -61 + 43. Let j = d - -21. What is the second derivative of 0*u**2 - 21*u + 18*u + 0*u**2 - u**j wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 20, 7, -74, -265, -608?\nAnswer: -1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(1\/6)\/j)**(-29) assuming j is positive.\nAnswer: j**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -2*g - 3. What is n(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/2998 and 73\/10?\nAnswer: 14990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 1018 = -o, 5*o - k = o - 4157. Let b = -522 - o. List the prime factors of b.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 16633200 a multiple of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -22*r**3 - r**2 + 18*r + 39. What is the remainder when w(-6) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 + 27*w + 209. Let y(p) = -4*p. Let t(l) = 4*l. Let u(f) = 4*t(f) + 5*y(f). What is the remainder when u(-5) is divided by n(33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -27\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-12)\/(-15)*(-10)\/(-4). Let n(a) = 2 + 1 + t + 8*a + 0 + 3*a**2. Calculate the remainder when n(-5) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4576 divided by 5?\nAnswer: 4576\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.128 * -1.96\nAnswer: -0.25088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -603662367*n**4 - 14*n**2 - n - 1127320 wrt n?\nAnswer: -14487896808*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1827.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.02 + 3.98. Let v = 12 + -12.1. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 954, 1023, 1136, 1293, 1494?\nAnswer: 1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 - 14*v + 4. Calculate n(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*w**2 + 0*w**2 - 2*w**2 + (-5 + 9 + 3)*(2*w**2 + 0*w**2 - 4*w**2).\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**3 + 9*a**2 - 16*a + 16. Let p(k) = -k**3 - 8*k**2 + 17*k - 17. Let u(d) = -3*b(d) - 4*p(d). List the prime factors of u(7).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 4}. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 106477489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 642735568 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 8 = 0, b + 4*i + 3 = -10. Let q be b + (-3 + 7)*(-1)\/2. Is q*(1 + -1) + 14660\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-31)\/(l**(23\/5)*l))**33 assuming l is positive.\nAnswer: l**(-6039\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 25717859933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -2344643?\nAnswer: 468928.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**10*(q*q*q**(-3\/4)*q)\/q*(q**(-2)*q*q)\/(q\/((q*q**(1\/17))\/q)))**48)**(1\/5) assuming q is positive.\nAnswer: q**(9228\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 208 is divided by 54.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z, 1 q, and 1 w when four letters picked without replacement from {g: 1, q: 1, z: 8, w: 2, t: 2}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.13 and -3.\nAnswer: -3.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 191 + -234 + 1 + 2?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-5\/6))\/s**(-8))\/(s*s**(-3\/8)*s\/s**(-1\/2)*s)*s*s*s**(-1\/3)*s**8\/s*(s**(2\/3)*s*s*s)\/(s**(1\/4)\/s) assuming s is positive.\nAnswer: s**(145\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.353 - 0.158. Let h = 0.135 - f. Which is the closest to -2\/11?  (a) 3\/4  (b) -1\/5  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 916 = -2*w, 0 = 12*j - 11*j - 4*w - 312. Suppose -5*g - 80 = -c, 4*g + j = 3*c + 5*g. What is the least common multiple of 40 and c?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251161276 divided by 19828?\nAnswer: 12667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 1:26 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 - 31 = -4*w. Calculate the least common multiple of 10 and (-12)\/(-78) + 11\/w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 7. Suppose -1780000 = 7*j - f*j. Round j to the nearest 10000.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the second derivative of m**4\/12 + 11*m**3\/6 - 33*m**2 - 176*m. What are the prime factors of s(-42)?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -341 - -243. Let r = -166 - o. What are the prime factors of (4\/4)\/((-4)\/r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*w - 330 = 12*w + 48*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of 0*k**3 - 1\/120*k**6 - 1\/2016*k**8 - 1\/90*k**5 + 0 - 1\/315*k**7 + 0*k - 1\/144*k**4 - 8*k**2. Factor i(s).\nAnswer: -s*(s + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -34\/5 + 7. Sort x, -1\/8, 1.\nAnswer: -1\/8, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 218 - 217.99999652. Round b to 7 dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + 2)\/((-23)\/(92\/66)). What is the nearest to 0 in 0, q, -1\/8, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -9*l**3 + 5*l**2 + 4*l + 2. Let i(k) = 8*k**3 - 4*k**2 - 4*k - 1. Let u(m) = -4*d(m) - 5*i(m). Let s be u(2). Which is smaller: s or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -575 * 4.\nAnswer: -2300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 + -6. Let s be ((108\/(-21))\/(-3))\/((-2)\/(-7)). Suppose -5*k + s*k - 4 = 0. Solve -a*m + k*m - 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 PM and 10:03 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -5613*r**3 - 7*r**2 + 532*r + 59. Let a(i) = -3742*i**3 - 5*i**2 + 370*i + 39. Let l(q) = 10*a(q) - 7*w(q). Find the second derivative of l(j) wrt j.\nAnswer: 11226*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.1974295l?\nAnswer: 197.4295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22911364.\nAnswer: 2, 7, 109, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 3*o. Let a(i) = -35 + 5*i + 15 + 20. Give m(a(g)).\nAnswer: 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 15120.\nAnswer: 1\/15120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**3 + 550*b**2 + 413515*b + 1235460.\nAnswer: -5*(b - 349)*(b + 3)*(b + 236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vviv when four letters picked without replacement from vivvvvvivvvi.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 48965 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 308765, 617535, 926307, 1235081?\nAnswer: 1543857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-5))\/((-48)\/(-12))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 15 = -0*x. Let b = 8 + x. What is the derivative of -2*q**3 + 0*q**b - 4 + 2*q**3 - 3*q**3 wrt q?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:47 PM and 2:26 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -1883240\nAnswer: -1883240","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gaggaagagiaaag. What is prob of picking 1 i and 2 g?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11003075 or 11003069?\nAnswer: 11003069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j = -9*j + 3. Solve j*q = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6173, 14455, 22737?\nAnswer: 31019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 6*x - 5. Suppose 4*r - 32 = -0*r. Suppose 6*z + 16 = 4*z + 4*h, -4*z - r = -x*h. Which is smaller: z or -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.5 times 562.1?\nAnswer: 17144.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*s**3 - 3 + 6 + 0*s**4 - 17*s**2 + 3*s + 0*s**4 - 17*s**3 - 2*s**4 to k*s**3 + g*s**2 + w + c*s**4 + p*s and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -5029, -10136, -15243, -20350, -25457, -30564?\n\"Answer: -5107*c + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000013446776 to seven dps.\nAnswer: 0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -7998 divided by -1333?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1111011 - 10100101010010100001?\nAnswer: -10100101010100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -76, 0, -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 0)*(-3*u**2 - 2*u**2 + 3*u**2) + 5*u**2 + 0*u**2 - 4*u**2 - 2*u**2 - 2*u**2 + 2*u**2 + 0*u**2 + u**2 + u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*d + 58*d = 30*d + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1174, 1173, 1172, 1171, 1170, 1169?\nAnswer: 1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 41733440 a multiple of 3472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -p**2 + 4*p**2 + 0*p**2 - 11 - 47*p + 30*p + 25*p to i*p**2 + o + z*p and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 608*i = 605*i + 51 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {b: 3, o: 12, v: 1, l: 1, i: 1, h: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 152119 (base 10) to base 16\nAnswer: 25237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*z - 2233*z**6 + 34*z**2 - 9*z**2 - 564*z**6 wrt z.\nAnswer: -335640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16448927 to the power of 1\/2, to the nearest integer?\nAnswer: 4056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 862640946*h**3*l + 337*h**3*y + 13994*h*l*y - 13*y with respect to y.\nAnswer: 337*h**3 + 13994*h*l - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 + -2 + -6 + (7 - 25)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 203636903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1582.2234 months to centuries.\nAnswer: 1.3185195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12207248?\nAnswer: 2, 137, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -8*n. Let j(c) = -49*c - 5. Let w(d) = -6*f(d) + j(d). Let x = 3 + 1. Let i be (-32)\/6 + x\/(-6). Determine w(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 226*b = 150*b + 11400. Let l = 50 + -24. What is the remainder when b is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1773*o = 1807*o + 102 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 18\/(((-63)\/6)\/7). List the prime factors of 141\/4 - a\/16.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1754988919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 - 7*j**2 + 7*j + 3. Let w be p(-8). Suppose -36 = 2*v - w*v. Suppose 4*f = v*x - 716, 0 = -4*x + 3*f + 445 + 270. List the prime factors of x.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20*i**3 - 408*i**2 + 720*i + 352.\nAnswer: -4*(i - 2)*(i + 22)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19451799 divided by 71.\nAnswer: -273969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 33403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.4, 3\/7, -104, 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -198*t + 188*t = -2010. Suppose -12*s + 35*s = 1058. Calculate the remainder when t is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 149*v - 1 + 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 4*s + 4 = 2*s, -4*s = -3*b + 8. Suppose -16*h + 17*h - 319 = b. What are the prime factors of h?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v**2\/19 - 24*v\/19 - 56\/19 = 0.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 6, 39, 0.4, -2, -0.033, 0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -403 + 1210\/3. Let j = -1.2 + 0.2. Which is the nearest to j?  (a) o  (b) -0.1  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 7\/5  (b) 1\/32  (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 3*m**2 - 24*m + 16. Let n be k(6). Which is the nearest to n?  (a) 3\/10  (b) -1\/3  (c) -1  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -44 + 50. What is the greatest common divisor of t and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -468 + 499. Which is the nearest to -5?  (a) -5  (b) f  (c) -0.1  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 5217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-304)\/(-14))\/(((-22)\/(-1221)*37)\/(49\/(-21))).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -95360 divided by 298\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mlzl when four letters picked without replacement from mzlll.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104 = -5*k + x, -19*k + 73 = x + 449 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -14516999*z**2 - 11. Let t(k) = 2*k. Determine o(t(y)).\nAnswer: -58067996*y**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + -4 - (-1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**4 + 28*n**3 - 122*n**2 + 168*n - 72.\nAnswer: -2*(n - 6)**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 28162 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5377*f + 1192 = 5526*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*w - 54 - 100 = 0. Suppose 110 = -2*u + 4*u. Calculate the greatest common factor of w and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00106942 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 0.008\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17945096.\nAnswer: 2, 13, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -70581*p**4 - 15823*p?\nAnswer: -846972*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11317 + 15480.\nAnswer: 26797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -3512, -8259, -14242, -21461?\n\"Answer: -618*n**2 - 2893*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1e2a (base 15) to base 13\nAnswer: -2cb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 236 = l - 3*l, 0 = 2*l - v - 211. Calculate the greatest common factor of l and 999.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l + 16. Let i(m) = -12*m + 1194. Determine i(s) + 15*p(s).\nAnswer: 3*s + 1434","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -10*o - 3. Let g(w) = 4 + 7*w - 24*w + 30*w. Let t(k) = 3*g(k) + 4*s(k). Let i be (-6 - -3 - -2) + 2. Let u(m) = m**2 + m. Determine i*t(q) + u(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = z - 6. Suppose -z*c + 3*k + k + 9 = 0, -2*k - 6 = -2*c. Suppose 3 = -c*h + 6*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/7, -4, 19, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 5*n - 12 = 0, -3*k = -8*k - 5*n + 15. Let g(u) = 3*u**3 - u**2 - 2*u - 1. Is g(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from anaognngnagongaon. What is prob of sequence ag?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1100001011111111 (base 2) to base 16.\nAnswer: -c2ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 583186 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 6894103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**(-8))\/((i\/(i\/(i\/i**(-2\/7))))\/i))\/(i**1)**(-4) assuming i is positive.\nAnswer: i**(89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 2230 = 2*b - 5*p, 0 = -4*b - p + 4478. What is b rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 + 25*k**2 - 9*k + 226. Give u(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of 19*l**6\/2 - l**5\/5 - 7*l**4 + 169*l**3\/3 - 8*l**2 + 6554. Find the third derivative of w(i) wrt i.\nAnswer: 3420*i**2 - 24*i - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1829062 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 + 7*r**2 - 14*r - 25. Determine v(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 + -8. Let t be (-5 + 5 - -3) + (a - -2). Solve 0 = -2*y - 5*r - t, -y - 4*r = -3*y + 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(153) + sqrt(153) + -1 + ((sqrt(153) - (sqrt(153) - sqrt(153)*2)) + 2)**2 + (4 + 3*(-2*sqrt(153))**2)*-6.\nAnswer: -10425 + 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) -2\/9  (b) 235  (c) -1\/1008\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 + 14*b**2 + 3*b - 19. Let c be r(-13). Let x = c - 106. Solve 3*w = x*w - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 335 is divided by 91.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 638 and 11088.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 16*y**2. Let j(z) = 11*z. Calculate h(j(o)).\nAnswer: 1936*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, r: 1, l: 3, p: 6, d: 4}. What is prob of picking 3 l?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (136\/56 - 8) + 8\/14 - -55. Which is smaller: 59 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 173 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3349*u + 3345*u + 36192. Does 104 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5138, -10297, -15466, -20651, -25858, -31093, -36362?\nAnswer: -41671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 5*d**3 + 3*d**2 + 4*d - 4. Let r(o) = -o**3 - o**2 - o + 1. Suppose -2*j - 4 = -6*j. Let f(p) = j*v(p) + 4*r(p). Factor f(l).\nAnswer: l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 52 - 28. Suppose 4*w + 7 - 29 = -2*c, -3*c = 3*w - g. Suppose 5*q = -15, -q = -c*h + q + 21. Solve -4*j + h*j = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 4 = -g, 3 = 2*g - 3*r - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.09 + -0.11. Which is the biggest value?  (a) 0.4  (b) -5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the second derivative of 112*i - 73*i**2 + 0 - 41\/3*i**3. Find the first derivative of o(h) wrt h.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1987 is divided by 87.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i + 1. Let u(m) = 5*m - 2. Suppose 0 = 3*x + 3*v - 459, -5*v - 139 - 446 = -4*x. Let r = -146 + x. Calculate r*b(k) + u(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 75 and 42444?\nAnswer: 1061100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*j**3 - j**3 - 17 - j**3.\nAnswer: 3*j**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -9\/16, -1\/2, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 524 = 4*k, 0 = 2*k - k - 2*n + 131. Let x = k - -184. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 209133 - 205850.49. Let g = -3315 + b. Let n = g + 33. What is n rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 9 = -0*i. Let k = i + 4. Let t = k - -13. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1256*h - 34449 = 5743 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -78.66 - 0.34. Let i = n - -52. Let c = i - -27.0026. Round c to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (-1 - ((7 - (-2 + 3)) + -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(216) + 2*sqrt(216)*2))\/(-2*sqrt(200) + 4*sqrt(72)).\nAnswer: -45*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -75795357.2 to the nearest one hundred thousand.\nAnswer: -75800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/12180 and 59\/60900.\nAnswer: 60900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 119 or -66\/23?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (-3 - -6 - 3) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + c - c**2)*(c + c - 5*c) - 199 + 98 + 102 + 7*c**3.\nAnswer: 10*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 111\/7, 1, 100, -7?\nAnswer: 111\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 8*g. Suppose 30*n + 4*f = 34*n - 56, 4*n + 3*f = 70. Let x(s) = s. Give n*x(z) - 4*i(z).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98950 is divided by 124?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 2 r when four letters picked without replacement from aaaarraara.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -10*t - 2. Suppose 0 = 4*n + 1 + 3. Let h be b(n). Calculate the greatest common factor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -8*l**3 - 2*l**3 + 2*l**4 - 4*l**4 + 6*l**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i**2. Let o(s) be the second derivative of 743*s**3\/6 + 198*s. Calculate m(o(j)).\nAnswer: -1104098*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1291 + 2334. Let t = v - 616. List the prime factors of t.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 873.1042 + -873. Let s = k + -2.1062. Let a = -2 - s. What is a rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10027 or 98?\nAnswer: -10027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14555517, 29111033, 43666549?\nAnswer: 58222065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the third derivative of 0 + 1\/210*g**7 + g**2 + 0*g + 1\/336*g**8 + 0*g**3 - 1\/40*g**6 - 1\/60*g**5 + 1\/12*g**4. Let u(y) = 0. Calculate y.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2, -10, -24, -44, -70, -102, -140?\n\"Answer: -3*s**2 + s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of 1\/2*j**3 + 3*j + 1\/4*j**4 - 1\/20*j**5 + 0*j**2 + 0. Let s be b(3). What is the greatest common factor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**2 + 630*i + 19845.\nAnswer: 5*(i + 63)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/10 + 314\/(-5). Calculate the remainder when 2 - (-4)\/((-12)\/f) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -7*x + 436. Determine l(35).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 11 = -32. Let t = g + -14. Let u(w) = -w - 3. Let o be u(t). Solve -o*p + 12 = -4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1\/3, 0, -2\/43, 7, -4, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 53*f - 130. Let i be y(3). Let x be (-28)\/(-1) - (-3)\/3. Calculate the highest common divisor of i and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 7:32 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = y + 10. Let m = 49 - y. Calculate the highest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5130 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x*x\/(x*(x**(-6)*x*x)\/x)*x*x*x**(-4)*x)**3)**32)**(3\/8) assuming x is positive.\nAnswer: x**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -5*f + 564 + 1091, -3*f - 2*i + 991 = 0. Does 14 divide (-11)\/(-55) + f\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**3\/3 - 40*p**2\/3 + 746*p\/3 - 704\/3.\nAnswer: -2*(p - 11)*(p - 1)*(p + 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24*b**4*c**2 - 2*b**3*c**2 - 74*b*c**2 - 2*b wrt b.\nAnswer: -288*b**2*c**2 - 12*b*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/15 - 6\/(-15). Let t be (4\/(-30)*-3)\/1. Let l = -61.8 - -62. What is the third biggest value in l, t, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -66, 0, 5, 13 in decreasing order.\nAnswer: 13, 5, 0, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36 + -10 + -10 + -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in five quarters of a hour?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -23*v**2 - 8*v - 1. Suppose -10 = 2*p - 22. Let g be z(p). Let w = 1230 + g. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 8*m**2 - 88*m + 283. What is the thousands digit of x(-48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -63 - 6?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of 2*z**3\/3 + 3*z - 1. Let h(x) = -6*x. Calculate u(h(j)).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j = 628 + 212. Let b be ((-14)\/j)\/(1\/(-5)). Factor 0 - 30*f**4 - b*f + 2\/3*f**2 + 14*f**3.\nAnswer: -2*f*(3*f - 1)**2*(5*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 2*o. Let z(b) be the third derivative of -35\/8*b**4 + 56*b**2 + 0*b + 0 + 0*b**3. Calculate a(z(p)).\nAnswer: -210*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of 1\/2*n**2 - 10*n + 22. Give d(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-23)\/(a**(-24)*a)*((a\/a**(3\/28))\/a)\/(a\/((a\/a**(-28))\/a)*a))**14 assuming a is positive.\nAnswer: a**(725\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 408 by -2.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11991 + -11989. Solve -23*y = 5*u - 25*y - 19, -d*u - 3*y = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -25*a**5 - 2*a**4 - 704*a**2 wrt a.\nAnswer: -1500*a**2 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = -9*a + 8*a + 6, 4*a + 5*l - 6 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 114\/30 + 3\/15. Suppose -2*d = t*m - 3*d - 317, -4*m - 4*d + 332 = 0. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-12)\/22 + (-492380)\/(-77) + 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 240 or -156015?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/43188 and -97\/3894.\nAnswer: 475068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 23 - (4 + (60 - 98))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes before 3:36 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4508 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 - 6. Suppose -z*g + 15 = g. Suppose -c = -r + g, -r + 1 = -3*c - 10. Solve d + 10 = 4*d - r*q, -20 = -4*d + 4*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11857 (base 9) to base 6\nAnswer: -100554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h, 1 z, and 1 b when four letters picked without replacement from bhgebzh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 85*-3.61\nAnswer: -306.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000128 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120*j = -136*j - 59*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7189 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9664 (base 10) to base 3.\nAnswer: -111020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/6222 and -115\/68442.\nAnswer: 68442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, r: 3}. What is prob of picking 2 r and 1 v?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 138287?\nAnswer: 61, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 242766250 is divided by 242766245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/(-12))\/(6\/(-27)). Let x(o) = -o**2 - 4*o + 8. Let v be x(-6). Let r = -7 - -6.7. Which is the closest to 2\/3?  (a) v  (b) q  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19044 + 19063.79. Is -2\/7 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 26 = r + 14 - 5, -105 = 4*r - 3*g for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -321 - -336. Let n(f) = -21*f + 22*f + o*f. Let a(u) = u**2. Calculate n(a(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -141\/4 - -36. Let q = 4.162 + -0.142. Let h = 0.02 - q. Put h, 2\/7, c in descending order.\nAnswer: c, 2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11.1 + 12. Let b = -1 + c. Let w = 0 - -1\/7. What is the third smallest value in 3, b, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 163\/318 + -2\/159. Which is the second smallest value?  (a) 0.7  (b) -1\/2  (c) q  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -5*w - 3*u + 710, -5*w + 4*u + 683 = 0. Let q(o) = -9*o - 50. Let n be q(5). Let f = n + w. Calculate the highest common factor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23944 divided by 8?\nAnswer: -2993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5110283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 140414327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 71\/573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*a - 21*a - 223 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, u: 3, m: 7}. Give prob of picking 1 u and 2 m.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -5007672 divided by 1329\nAnswer: -3768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 59279 and 4301?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.12 - -3.58. Let z = 4.19 - u. Let n = -0.5113 - z. What is n rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -859*m**2 - 785*m**2 - 1147*m**3 + 3*m**4 - 1656*m + 1470*m**3 - 725*m**3.\nAnswer: 3*m*(m - 138)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15\/8 in -4, 0.2, 0.4, -403, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 7*p + 6)*(-4 + 4*p + 4) + (-3*p + 0*p + 5*p)*(0*p - 4*p + 3*p).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3 - 70596266\nAnswer: -70596269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -30*d**2 - 1345*d + 29206. What is y(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 4*c - 307, -2006 = -4*v + 2*c - 722. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 5*k**2. Let d(s) = s**2 + s - 1. Let a(u) = 2*u**2 + 5*u - 5. Let f(o) = -a(o) + 5*d(o). Determine c(f(n)).\nAnswer: 45*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u - 4*u + u)*((0 + 3 - 1)*(-3 + 2 - 3) + 0 + 0 + 1 + (0 - 3 + 4)*(5 - 1 - 2) + 4 - 5 + 3).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 8 = -2*m. Let i be (4 - m)\/(-5)*-7. Let j = -950 + 953. Solve f = -4, -i*p + 12 = -j*p - f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7423063?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -507987690 times -0.4\nAnswer: 203195076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.3  (b) 0.4  (c) 1  (d) -11602  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = y - 3*y. Suppose 0 = -2*x - y*x + 25, j - 30 = -4*x. What is the second smallest value in -5, j, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y - 1. Let v be w(7). Let s be v + -23 - (-5 + 2). Calculate the remainder when (-107)\/(-7) - s\/(-49) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3446600, -13786347, -31019258, -55145333?\n\"Answer: -3446582*x**2 - x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-234)\/2366)\/(141\/658)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-27 - 6) + (4 - (-5 - 0)) - -5\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*v + 4*v + 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from feefekfhefkfehkfeeff. What is prob of sequence hkhk?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 903.3353 grams to nanograms.\nAnswer: 903335300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**(-1\/27))\/(f*f\/(f\/(f**(-5\/6)\/f))*f))**(-12) assuming f is positive.\nAnswer: f**(-94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the second derivative of -q**5\/20 + q**4\/2 + q**3\/2 + 7*q**2\/2 - q. Let g(l) = 2*l**2 + l + 2. Let o(k) = 2*a(k) - 7*g(k). Give o(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from pipupspsss.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m + 34 = -4*a, -15*m + 289 = 2*a + 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 301 + m**2 - 301. Let r(z) = -18*z**2. Determine x(r(h)).\nAnswer: 324*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-35)\/15)\/(2\/(-558)). Suppose z + 703 = 2*c. Let n = -452 + c. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -201405 (base 9) to base 4\nAnswer: -131011310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 201013265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**2 + 0*x**2 + 0*x**2 + (-4 + x**2 + 4 + (0*x**2 + 4*x**2 - 2*x**2)*(-4 + 1 + 4))*(-1 + 3 - 16))*(2 - 15 - 8 + (-3 + 4 - 3)*(1 + 0 + 0) - 1 + 1 - 1).\nAnswer: 1032*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of -x**3\/3 + 2*x - 95. Suppose -5*a + 131 + 16 = 3*b, -2*a + 42 = -3*b. Let l(q) = -a*q + 46*q + 35*q. Calculate y(l(d)).\nAnswer: -108*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 77\/85 + -12\/17. Let p(h) be the first derivative of -2 + 0*h**4 + 0*h**3 + u*h**5 + h + 0*h**2. Find the first derivative of p(o) wrt o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.77*0.2.\nAnswer: -0.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u - 1. Let r be s(3). Let y be (3 + r)\/((-2)\/(-8)). Suppose 4*m = -5*f + 134, -4*m + m = 5*f - 138. Calculate the greatest common factor of y and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 37819.2312 - 37813. Round g to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 5\/3  (b) -113  (c) -2  (d) -0.006\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -20*g - 85. Let l(j) = 5*j + 23. Let p(b) = 15*l(b) + 4*r(b). Let c(q) = -11*q + 11. Give -4*c(n) + 9*p(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2616, 2618, 2620, 2622?\n\"Answer: 2*b + 2614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 66416 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 119293.1 weeks to seconds.\nAnswer: 72148466880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 200 (base 5) to base 8\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.02335*2\nAnswer: 0.0467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 1 - 48*y**3 + y**2 + 49*y**3 in the form t*y**2 + g + r*y + p*y**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*-2*(-1)\/(-2). Suppose -9*t = -12*t. Let j = t - p. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33100 (base 4) to base 6.\nAnswer: -4304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27849*l + 55877*l - 28025*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 22465325 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the third derivative of -t**5\/300 - t**4\/10 - 6*t**3\/5 + 145*t**2 - t. Find y such that b(y) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 4357883*r**3 + 11824*r - 5912. Let p(g) = -2211*g**3 - 6*g + 3. Calculate -3*o(b) - 5912*p(b).\nAnswer: -2217*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:58 AM and 6:53 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 124768139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10950 + 10951. What is the closest to 0 in -2\/11, 4, -0.4, a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 551843 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1*(-8)\/12*(2 - 14). Sort -5, 5, k in descending order.\nAnswer: 5, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + c + 5*z = -16, -c - 4*z = 12. Suppose 2*u = 2 + 6. Suppose c*l + 0*y = -4*y + 64, l - u*y - 1 = 0. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.56208352 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of -a**3\/3 - a**2\/2 + 2*a - 4. Suppose 0 = -3*n + 3*g - 0*g - 3, 0 = -g + 1. Give z(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72209 is divided by 10315.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1226 and 7442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.72777 kilometers to meters.\nAnswer: 3727.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.454 minus -160447.8?\nAnswer: 160448.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/((v*(v\/v**14)\/v*v*v)\/v*v)*v\/(v**(3\/8)\/v))**(16\/9) assuming v is positive.\nAnswer: v**(218\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 + 2*w**2 + w + 2. Let v be x(-2). Is 1 - (v - 1*30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*217.7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, a: 4, l: 1, d: 3, y: 4, k: 7}. What is prob of picking 3 y and 1 d?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 520 and 484375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/4, -2\/9, 2, 1 in descending order.\nAnswer: 2, 1, -2\/9, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/33 and -109\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -240769, -240796, -240817, -240826, -240817, -240784?\nAnswer: -240721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + -1. Let i be 15\/(-6)*(-13 - r). What is the highest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*r - 13*r - 2*r)*((-2 + 0 + 4)*(-r + 2 - 2) - 2*r + 1 - 1)*(-525 - 3*r + 525) as i + j*r**2 + k*r**3 + b*r and give k.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000065195 rounded to six dps?\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8813, 17506, 26077, 34526, 42853, 51058?\nAnswer: 59141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5534559?\nAnswer: 3, 23, 26737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((4\/6)\/(610\/(-244)))\/(24\/(-105)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -782 - -1111. What is the remainder when h is divided by 116?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -21*b**2 - 66*b - 9. Let u(v) = -6*v**2 - 23*v - 3. Give 4*r(l) - 11*u(l).\nAnswer: -18*l**2 - 11*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -28883\/8822 + 1\/802. Let h = -446\/143 - b. Sort 2\/7, h, -1 in decreasing order.\nAnswer: 2\/7, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + ((sqrt(275) + -1)*3 - sqrt(275)))*3)**2.\nAnswer: -1080*sqrt(11) + 10224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3 - -7)*(-51)\/(-12). Let x = 25 - i. What are the prime factors of (-30)\/x*4\/(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.765 - 0.765. Let h be 6*(-6)\/5 + -5 + 1. Which is smaller: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 2*x**2 + 11*x + 3. Let j be v(-6). Solve 3*k + 0*k - 2*s = j, -3*s = 2*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6.93 + 7.381. Let u = -0.28065 - -0.18065. Which is bigger: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 477873801?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 1905*q - 8195*q + 8618 - 8618 as t + g*q and give g.\nAnswer: -6290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 4) + 29 + -21 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2220 is divided by 735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - 3 - -9) + (4 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 20 = 0, 4*q = 5*y + 8943 - 8932 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 - 12*y**2 - 11*y - 4. Calculate s(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 52\/26 - -1*838. Let t be (144\/(-21))\/((-18)\/63). Calculate the highest common divisor of x and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l - 204 = -4*l. Let b = l - -65. Let c(o) = -o**3 + 14*o**2 + 2*o - 26. Let i be c(b). Solve 3*u + 0 = -5*s - i, 2*s + 12 = -4*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 + 19*t**2 - 75*t - 432. Let k be l(-21). Solve 0 = k*d - 270*d + 54 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 148 = 22*r + 15*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0, 0.244, -0.5, 61?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32014 is divided by 2286.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are -256509\/1367 and -187 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/(-25)*-5*90 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-105)\/15*(-24)\/(-132)*22\/1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -0*c + c + 17, -10 = 2*t. Suppose 6*m = 4*m. Put c, m, 5 in decreasing order.\nAnswer: 5, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 26 = -4*w, 2*w = -3*i + 7*i + 34. Let p be (-1)\/(-1)*i\/(-6). Is -9 - -6 - (p + -673) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -0*y - 29. Calculate the remainder when (-4 + 2)\/2*(-113)\/1 is divided by y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53 - 12 - 15 = 10*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*r + 5 + 0*r + r)*(4228*r**2 - 1971*r**2 - 1088*r**2) to x*r**2 + q*r + c*r**3 + j and give x.\nAnswer: 5845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1639364605?\nAnswer: 5, 137, 2393233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -255*v = -15562 - 12895 + 5507. Calculate the smallest common multiple of 486 and v.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 5:05 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 5360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 4, -1252 in descending order.\nAnswer: 4, -14, -1252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**2 + 25*r + 40 - 69*r + 7*r**2 + 0.\nAnswer: 4*(r - 10)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -3*z + 314. Calculate u(-45).\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -35278976*l**2 - 96101972?\nAnswer: -70557952*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 28*r**4 + r**2 - 16*r - 28*r**4 + r + 20*r**5 wrt r.\nAnswer: 1200*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 514*p**2 + 619 wrt p.\nAnswer: 1028*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1248 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) -0.3  (b) -5  (c) 166  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 7 + (1 - 12 - -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -19 + 27. Let x = 17 + -19. Calculate the remainder when k is divided by (0\/x - -6)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 4*z - 132 = -4*c, 0 = -5*z + 5. What is the remainder when c is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express y - 1 + 1 + (-3 + 2 + 3)*(-2*y + y + 3*y) - 2*y + 2*y - 4*y + (2*y + 3 - 3)*(10 - 3 + 6) as g*y + i and give g.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -104836 or -9\/71?\nAnswer: -104836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 47  (c) 0  (d) -515\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 190, 778, 1770, 3172, 4990, 7230, 9898?\nAnswer: 13000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n**9)\/n**(-5\/2))**(-42))**(2\/51) assuming n is positive.\nAnswer: n**(-350\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 69280209859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 140948897 divided by -140948897\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 44*q**2 - 226*q + 26. Let g be v(5). Let l = -0.3 + 1.3. Let n be (-2)\/(-3)*(-2)\/4. Which is the second biggest value?  (a) n  (b) g  (c) l  (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7 + 5 - -10) + -5 + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 264 - 188 = 0. Suppose -821 = -4*v - r, 6*v - 1027 = v - r. Suppose -v = -37*p + 645. Calculate the remainder when c is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 66*j - 36. Give r(3).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {a: 8, d: 3, t: 1, p: 1, s: 3, x: 3}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 85.71482 nanograms to tonnes.\nAnswer: 0.00000000000008571482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22855 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-22 + 1)*(-16)\/(2688\/(-72)). Let p(q) = -q**3 - 7*q**2 + 11*q - 6. What is p(v)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2577116 in -3, 5, -0.2, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/37 in -2\/63, 6\/13, -4\/7, 5?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*h + 19 = 67 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2911 and 697?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*u = 7*u - 68*u + 576. Solve u*v - 19*v = -2*o - 5, -3*o - 27 = 5*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (73720\/(-475))\/97*(-1825)\/20?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 74 - (60 - (-61 - -85))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, 62, -3, 7 in decreasing order.\nAnswer: 62, 7, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16090158 and 1806?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-10)\/(-14) - (-2)\/7. Let y = 41 + -17. Let h be (-4)\/(-6)*y\/(-4). Which is the closest to -1?  (a) -1\/2  (b) t  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -4*k - 2 + 2 + 1. Let p be a(-1). Solve 3*c - p*x = 11, -2*x + 7*x = 2*c - 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27 + -28. Let q be (-1*(2 + -4) + -12)\/p. Suppose -7*s - q*s = -3315. What is s rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (13*x**3 - 11*x**3 - x**3 - 7)*(-1 - 4 + 0) in the form k*x**3 + s*x + r + w*x**2 and give r.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -50 by 2.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4*d**2 + 7\/4*d + 3.\nAnswer: (d + 3)*(d + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b**2. Let y(v) be the third derivative of -v**7\/5040 - v**5\/5 - 4*v**2. Let n(i) be the third derivative of y(i). Give p(n(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 416 + 6177656?\nAnswer: 6200274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.173 less than 1.49?\nAnswer: 1.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 + -5. Let p = -1370 + 1370. Suppose v*t - 3*g - 85 = 2*g, g + 3 = p. Sort -5, -3, t in increasing order.\nAnswer: -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tj when two letters picked without replacement from htzjt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 221 and 2298179.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -4\/3, 671?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -2*u**3 - 9*u**2 - 10*u - 8. Let q be f(-6). What is the highest common factor of 32 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 9, 0.1, -1\/8, 3, 4\/13, -5.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Is -2\/217 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - i - 3 = v, -v = -4*i - 3. Let p be (-2)\/4 - v\/(-14). Let h be (0 - -2)\/(1 + 4\/(-8)). Put 0.1, h, p in descending order.\nAnswer: h, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8948 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 6 - (-19 + 62 + -47 + (11 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 66, -1, -4, -5, 1 in increasing order.\nAnswer: -5, -4, -1, 1, 2, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29 - 9. Let t be (-486)\/(-48) + (-8)\/64. Calculate the greatest common factor of k and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 16722600 to the nearest 10000.\nAnswer: 16720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-9)\/(-60))\/(45\/(-40)))\/(2\/20).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 + 8. Let b(y) = -3*y - y - 4 - 2. Let p(s) = s**3 - 5*s - 7. Let a(z) = x*b(z) - 4*p(z). Differentiate a(q) wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -80, -87, -94, -101, -108?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15 - -16. Let w(n) = 4*n - 1. Let z be w(j). Solve -z*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 69076096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 111111100111110111111 (base 2) in base 3?\nAnswer: 10220220210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**3 - 2 + 2 + (-8 + 4*b**2 + 8)*(4*b + 3*b - 2*b) - 1 + 1 + 2*b**3.\nAnswer: 21*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 22*b**4 + 44*b**3 + 2094*b?\nAnswer: 264*b**2 + 264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 20226211 to the power of 1\/2, to the nearest integer?\nAnswer: 4497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*d**3 + 46*d**3 + 2*d**3 + 2*d**3 + 4*d**3 + 0*d**3.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.10847 and 0.5.\nAnswer: -0.054235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from {y: 1, v: 14}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 643147 + 28*q**2 + 24*q - 4*q**4 - 643147.\nAnswer: -4*q*(q - 3)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*2\/(-1)*296\/74?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 123462 is divided by 5855.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/g**(19\/3))\/g**(5\/6))\/(g**(-2\/5)*g)**(-10))**(-3) assuming g is positive.\nAnswer: sqrt(g)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 216 = 3*z, -14*z - 5*g = -13*z - 56. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*s + 4 = -15*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 236 is divided by 229.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**2 + 111*i + 1432. Calculate the remainder when g(-8) is divided by (-128)\/(-6) - (-2)\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 421745 is divided by 3514.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -141.77 + 142. Which is the nearest to -0.1?  (a) -0.4  (b) v  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -25.1 - -30. Let x = 4.921 - b. What is x rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 + 6*c**2 - 5*c - 1. Let n be i(5). What are the prime factors of n\/(2 + 0)*-134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 552 and 483?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -89*r**2 - 119*r + 988. What is c(7)?\nAnswer: -4206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 + 20*n - 61. Let b = -132 + 162. Is w(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 3*y**4\/2 + 87*y**3 - 18*y**2 - 1068*y - 1392 = 0.\nAnswer: -58, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.91 + -0.09. Suppose 2*p - 6*p - 4 = 0. Which is the closest to -1?  (a) -0.2  (b) p  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 206429910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 1930*d - 11173. Calculate l(6).\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 7*a**5 + 3484*a**4 - 25657*a**3 + 49466*a**2 - 12120*a = 0?\nAnswer: -505, 0, 2\/7, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 110288460 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a38 - 624?\nAnswer: -1460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yiyiiiiiiiyi. What is prob of sequence iy?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 + -2 + 0 + -6. Is 18 a factor of m - -6 - (-157)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*(5\/(30\/(-24)) - 2). Let u be c*2\/4 - (-143)\/(-39). What is the smallest value in -10\/9, u, -2\/9, 5\/3?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 827, 1656, 2485, 3314, 4143?\nAnswer: 4972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 35685 by -305.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of -91*d - 17\/2*d**2 + 109. Differentiate z(x) wrt x.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b**2 + 7*b - 8*b**2 - 12*b + 3*b**2 + 2*b.\nAnswer: -7*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 6*o. Let s(b) = 16*b - 6. Let r(g) = 2*j(g) - s(g). Suppose 0 = -y + m + 6 - 1, -2*m + 40 = 3*y. Let n(a) = a - 1. What is y*n(x) + 2*r(x)?\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 not equal to 1\/34665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*r + 56*r = 238. Solve 5 = 6*v - r*v + 2*g, -3*v = -g - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 6:25 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*(d*d**(1\/5)*d)\/d*d)\/d**2)\/(d\/(d\/d**(-2))*(d**(-1\/4)\/d*d)\/d) assuming d is positive.\nAnswer: d**(109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**4 + 3*y**4 - y**4)*(-1 + 1 - 2*y) - 143*y**5 + 23*y**5 - 98*y**5.\nAnswer: -220*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.3 - 4. Let a be 16 - (8 - -17 - 14). What is the smallest value in -5, x, -0.2, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46325583 at most 46325583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(320) + -1 + 4 + 1*sqrt(320))*-5)**2.\nAnswer: 800*sqrt(5) + 32025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 4) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5837 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -16758300 to the nearest one hundred thousand.\nAnswer: -16800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 3618756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5 and 92.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*s + 58*s = 23*s - 65*s + 228 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 - 5*o**2 + 4*o - 1. Let v be (-8)\/(-21)*-3*49\/(-14). Determine c(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -3*v**2 + 3*v. Let h(m) = m**2 + 4*m + 29. Let f be h(-12). Let x = 127 - f. What is o(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2 + 750001*h**3 + 0*h**2 + 2 + h**2 - 2*h - 2. Let j be t(-1). Round j to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2. Let b(a) = -a - 1. Let p(q) = 2*b(q) - t(q). Let s(r) = -8*r. What is s(p(y))?\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 191431340 divided by 38286268.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 115 - 133 = -9*q. Let w be 1\/(q\/4) + -1 + 3. What is the greatest common divisor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2124 and 170409228?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 3)*(77*a - 145*a + 105*a)*(-2 + 1 + 0)*(-2*a + 5*a - 2*a)*(59 - 59 - 2*a).\nAnswer: 148*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(-10)\/12*20\/50?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 208928 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 1 + (2 - 2 - 2)*(4 - 1 - 1) - 1 + 1 - 1 + 3 + 1 - 2)*(14 - 14 - 5*q).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 29, 25, 21, 17, 13, 9?\n\"Answer: -4*l + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 224 is divided by 4\/8 + (-1017)\/(-18).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31\/186*0\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10 + 1071\/(-216)*2. Let r(y) be the second derivative of -8*y + 0*y**2 + j*y**4 - 5\/6*y**3 + 0. Find the second derivative of r(b) wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7958019 and 39810.\nAnswer: 79580190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/sqrt(2)*-1 - (3 + sqrt(80)).\nAnswer: -5*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -0.5, 4, -5483, 1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 56 and 1200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 6034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**2 + 105. Let i(q) = -18*q**2. What is v(i(a))?\nAnswer: -324*a**4 + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 + 95*w + 1784. Give c(-72).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -2*i - 1. Let q(h) = -h**2 + h + 1. Calculate -3*q(d) - 2*u(d).\nAnswer: 3*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (-24 + 40 - -9) - -15?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -4*g - 3*k, 0 = -5*g + 3*k + 2*k. Let c be 2 + 3 + 8\/g. Solve -z = -c*z + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5742164 is divided by 214.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 195, 196, 205, 228, 271, 340, 441?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1526 divided by 14.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.596 * -673\nAnswer: 401.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + 10. Let d be (12 - 2)*(-2)\/(-4). Let k(m) = 4*m - 48. Let s be k(14). Solve s*q = f*q - d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -78, -442, -1094, -2034, -3262, -4778?\nAnswer: -6582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*h**3*s - 17*h**3 + 10807*s - 2594 wrt s?\nAnswer: 2*h**3 + 10807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 PM and 5:31 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/(-6) - (-20 + (-408)\/(-18)). Put l, 3, -4, 216 in descending order.\nAnswer: 216, 3, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -507.72 + 87.5. What is k rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w + 6. Let a be y(5). Let f(h) = 4*h**3 + 0*h**2 + 5435 - 5437 + 3*h**2 + 2*h - 5*h**3. Let o(u) = u**2 + u. Calculate a*f(r) - 2*o(r).\nAnswer: -r**3 + r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 + 6*d - 17 - 3.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10230 and 866140.\nAnswer: 2598420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 69858 divided by -23286?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53485.\nAnswer: 5, 19, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, 37\/3 in descending order.\nAnswer: 37\/3, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 293315 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13024308?\nAnswer: 2, 3, 11, 98669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i*i*i*i**(-1)*i))\/i)\/(i*i\/i**12) assuming i is positive.\nAnswer: i**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 4 = -3*a. Let g be -11 + 5752\/48 + 5\/(-6). What is the highest common divisor of g and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 - 10*m + 22. Determine k(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 335 + -348 + (-7 - -3) + 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 268f4 - -2?\nAnswer: 268f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -302.548.\nAnswer: -302.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 161\/303888 and -53\/112752.\nAnswer: 713832912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 - 1 - (-12)\/3. Suppose 0 = -8*s + 3*s + 60. Let p be 4\/(-6) - (-8)\/s. Solve p = 2*x + c*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6655) - -2*(1*sqrt(6655) - sqrt(6655)))\/(sqrt(275) + -3*(sqrt(275) - (sqrt(275) + sqrt(275)*-1))).\nAnswer: -11*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 87016193 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000255229308 rounded to 7 dps?\nAnswer: 0.0000255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 2\/7*f**3 + 13\/7*f**2 + 0 = 0. What is f?\nAnswer: -1\/2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/322 and -43\/124555120.\nAnswer: 871885840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.6161234 rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than -29\/25070?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1.5, 2, 0.2, 9?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2417 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 107, -6 in decreasing order.\nAnswer: 107, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -155\/42 and 3\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 179*n - 9941361 + 1779319. Round n to the nearest 100.\nAnswer: 45600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 - 15*v**2 - 6*v - 2. Let g be a(-15). What is the greatest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 = 3*f + 5*x - 6*x, 5*f = x + 119. Let p = f - -120. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1067 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 257*w**5 + 557*w**4 - 1760*w**2 + 39*w wrt w?\nAnswer: 15420*w**2 + 13368*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-36)\/(-15)*(-935)\/7854.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 403 a factor of 202724717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**3\/11 - 1316*s**2\/11 + 216482*s\/11.\nAnswer: 2*s*(s - 329)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -7*s - 48. Calculate the remainder when w(-21) is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 6075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53 + (-10 - (16 - -16)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -294, -0.5, -4, 35, -1.1, -2 in increasing order.\nAnswer: -294, -4, -2, -1.1, -0.5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 3:58 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 smaller than 65587\/12556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -691838*m**2*t**2 - 2*m**2 - 2*m*t**2 + 2*t**2 + 1046731*t - 2 wrt m.\nAnswer: -1383676*m*t**2 - 4*m - 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 218.5071l to millilitres.\nAnswer: 218507.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.81414828 to 4 dps.\nAnswer: 0.8141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 74.8817 milligrams?\nAnswer: 74881.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -2*n**2 - 8 + 5 + 24*n + 1. Let f be t(14). Let k = f + 114. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 5  (b) 6.48  (c) -2\/123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 180 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 3 = -x. Suppose -6 = v - x*v. Suppose -53 = -h + 4*n, v*h = 4*n - 0*n + 135. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -5*g + 19. Calculate the remainder when -11*-2*g\/2 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 161 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 276*a - 20. Let o(g) = 772*g - 56. Let l(i) = 5*o(i) - 14*t(i). Let b(p) = -5*p + 4. Let h(j) = 10*j - 9. Let s(c) = 9*b(c) + 4*h(c). Give l(s(q)).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.1, 2, -1\/79, 5\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24819, -24888, -24959, -25032, -25107, -25184?\nAnswer: -25263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 20 - -27. Suppose 3*n = -4*q + 60, -7*n + m = -5*n + 5*q. Let i(r) = 8*r + 8 - n + 0 - r**2 + 9. Determine i(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 61 - 39. Suppose 26*i = o*i + 18549084. Suppose i = -3*t - 1572729. What is t rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (20\/66)\/(605\/(-2662))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(1300)*2)**2.\nAnswer: -15600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = m - 4*f, 0*f - 3*f = -3. Suppose 16 = -7*u + m*u. Let n(b) = -b**3 - 5*b**2 - 4*b - 3. Give n(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 + 2*k + 1. Let q be g(-2). Suppose 4*d - 4*p - 24 = 0, -5 - 5 = q*p. Solve -5*z - d*r - 5 = 0, -r = -z + r + 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*a**3 + 8*a**3 - a**3)*(-9*a**2 + a**2 - a**2).\nAnswer: -126*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 51535653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(7920)*1)\/(-1*2*sqrt(180)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 11\/2  (b) -4  (c) 5  (d) 12540\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, r: 7}. Give prob of picking 1 m and 1 r.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 + 50 = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12996077401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1\/2, -216, -16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 - 78*q + 3 + 271*q + 1 in the form k*q + z and give k.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -149.833 + 1023.\nAnswer: 873.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**2 - 23708*z + 189920.\nAnswer: -4*(z - 8)*(z + 5935)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1207.96 - -1256. Let v = -0.04 + y. Let k = 47.11 - v. What is k rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7761.8 + 7762. What is the fifth biggest value in -0.1, -12\/23, -5, -2, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85 is divided by 35?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 102.747592 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 - -6 - (-17052)\/203. Solve 29 = -12*p + g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 + 430000. Let g = 0 - -4. Suppose -z = g*z. Let m be d(z). Round m to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 18876*q**3 + 8*q**2 + q - 10. List the prime factors of g(1).\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 + -7301688335?\nAnswer: -7301688335.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -7. Is (v\/(-8))\/((-1)\/20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of -1\/40*c**5 - 1\/6*c**4 + 0*c**2 - c + 0 - 1\/3*c**3. Solve b(t) = 0 for t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46\/48379293 and 44\/37628339.\nAnswer: 338655051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(-8)\/16*111\/148*24*1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000062825936 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -66*b. Let c(d) = -20608*d. Give w(c(n)).\nAnswer: 1360128*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 - 11*v**2 + 9*v + 10. Give d(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1889595 divided by -45.\nAnswer: -41991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 25727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 589719 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 132409 - 0 - (-301)\/43. Suppose -j = -12*g + 5133184. Round g to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -15 and 60.\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2169466722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 12, h: 1, g: 3, b: 1, t: 2}. What is prob of sequence tg?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -85*t + 227 - 2*t**2 - 81*t + 158*t.\nAnswer: -2*t**2 - 8*t + 227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*y = 6*y + 15. Solve -3*i - 3*k = -8*i - 28, -2*i - 5*k = y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -32*x**3 + 3. Let n be r(-2). Suppose n = 2*b + 3*f, -3*f + 6*f + 134 = b. Let t be b\/7 + 16\/56. Solve 11 = -0*a + 5*a + 3*s, s = 4*a - t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -10550976*y + 5874609 wrt y?\nAnswer: -10550976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*f - 7*f**2 - 15*f)*(-1 + 1 + f**2)*(-8 + 8 + 5*f).\nAnswer: -35*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1758738 divided by -1758738?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 58133344 smaller than 58133343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 577 (base 10) in base 13?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (3 + (sqrt(2448) - ((sqrt(2448) - (-1 + sqrt(2448))*6) + sqrt(2448)) - 1*sqrt(2448)*1) + 0 + -5 + -3)**2.\nAnswer: -1056*sqrt(17) + 39291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 - 2*p**2 + 2)*(0*p - p - 7*p)*(18 - 8 + 20).\nAnswer: 480*p**3 + 240*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 168871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*j + 9210 = -19*j. Let r = j + 309. Solve 0 = u + r*z + 9, 2*u + 0*u + z + 12 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-2\/11)\/n)**(-6\/13)*(n**0\/n)**(-13))**(1\/3) assuming n is positive.\nAnswer: n**(1871\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 920 - 2051. Let g = p - -1132. Let i = 0.45 + -0.05. Which is the second biggest value?  (a) i  (b) -0.2  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from {x: 7, f: 5, p: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 - 1 = q. Let n(r) = -3*r + 1. Let f be n(-3). Let s(j) = -j**2 + 13*j + 12. Let x be s(f). What is the greatest common factor of q and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 24*2\/26 - 2\/(-13). Sort -3, 5, i, 0.4 in increasing order.\nAnswer: -3, 0.4, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 11.7 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(1\/15)*q*q)\/q**(-11\/4))\/(q**(-2\/9)*q**(-26)) assuming q is positive.\nAnswer: q**(5767\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 12*y - 12. Let g be -10 + 1 + 5 - -6. Let t be o(g). Solve 2*w + 2*h - t = 0, 20 = w + 4*w + 3*h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 4*b = -3. Calculate the greatest common divisor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, -4, -100 in descending order.\nAnswer: -1\/5, -4, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 467 a factor of 3733766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -2*i**3 - 110*i**2 - 104*i + 703. Give d(-54).\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-55 - -2)*1*-1. Suppose -3*m + 2*m + i = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the second derivative of y**4\/12 - y**3\/3 - y**2\/2 + 3*y. Let o be i(-1). What is the third derivative of -3*u**6 + 2*u**2 - 5*u**o + 0*u**6 wrt u?\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, -122.\nAnswer: -122, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 5474, 1\/158, -0.5 in decreasing order.\nAnswer: 5474, 1\/158, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -48*(-46)\/(-368) + (0 - (-100)\/17). Which is the smallest value?  (a) 0.16  (b) 5  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/13  (b) -0.00912  (c) 21  (d) 2  (e) -0.5  (f) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 2*j = -3, 0 = -4*s - 2*j + 3422. List the prime factors of s.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.19 + 0.59. Let w = -170.3 - -170. Which is the second smallest value?  (a) w  (b) f  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6611139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {e: 1, f: 5, r: 9, j: 2, z: 1}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -7*l**3 + 3*l**2 - 6*l - 9. Let i be m(-1). Solve -86 + 93 = i*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103492 is divided by 114.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 AM and 7:23 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/15 of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**2\/4 + 81*m\/4 - 79\/2.\nAnswer: -(m - 79)*(m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*g**5\/3 + g**4\/2 - 4*g**3 + 7*g**2\/6 + g = 0. Calculate g.\nAnswer: -2, -3\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*r + 6*r + 11*r - r.\nAnswer: 23*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.230976  (b) 21  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * 5.3626.\nAnswer: 2.14504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2 - 926*j + 38821. Determine w(44).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 3\/2, -25, 2\/49, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*q = a + 38*q - 59221, -5*a + 296252 = -q. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/(n*n*n*(n*n*n**(-1\/4))\/n*n)*n**(-6)*(n**1)**(-1\/67) assuming n is positive.\nAnswer: n**(-2617\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -686, -1380, -2074, -2768, -3462?\n\"Answer: -694*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -171632126*c**5 - 4*c**2 - 261*c - 94173.\nAnswer: -10297927560*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.192*1.6\nAnswer: -0.3072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 2 - 54*b + 27*b - 62 + 33*b.\nAnswer: 6*b - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12733?\nAnswer: 7, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = v + 13. Suppose 5*u + 5 = v. Let b be (-3)\/(-2) + 2\/u. Solve -4*n + n - b*c - 14 = 0, n + 4*c + 8 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -511597  (b) -2\/3  (c) -2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c**3 - c**2 + 9*c + 1. Let s be f(-3). Is (s\/(-2))\/(7090\/1180 + -6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 - (11\/7 + 0). Let j be (-6)\/21 - ((-16)\/7 - -2). Is j bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - 4\/(-6)*27\/18\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3957, -15980, -36045, -64152?\n\"Answer: -4021*s**2 + 40*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s + 1. Let a(l) = l**3 + 12*l**2 + l + 15. Let y be a(-12). Suppose -2*v + 20 = 2*q - 0*q, 0 = -y*v + 3*q. Let z be g(v). Solve -20 = z*k - k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 312790707581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/((-14)\/(-4) - 1 - 4). Let z be (0 - q)\/((-2)\/6). What is the units digit of 7*(1\/z + 1965\/90)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -7*i + 20. Calculate k(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zrzuupppprtpup. Give prob of picking 2 z.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 2\/5, -2\/37, 134, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-596)\/30 - (-6)\/(-45). Let b = 400 + -412. What are the prime factors of -5*b\/v*-7?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-28)\/(-66)*((-6324)\/217)\/34\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 - ((-26)\/8 - 7\/(-28)). Suppose -3*m - 231 = -z*i, -2*m + 1 = 3. Calculate the least common multiple of i and 24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*o + 47345 = 58*o. Does 28 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from icfccciicciic. Give prob of picking 1 f and 1 c.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 156775.5, -4, -1, -2 in decreasing order.\nAnswer: 156775.5, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*h - 26*h + 64. Let l(n) = -n**3 + 5*n**2 - 4*n - 1. Let r be l(3). Suppose -x = -r*x + h. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*h = -92*h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - -6. Suppose -2*x = f + 5, 5*f - s = f - 2*x. Suppose -f*t - 2*t + 255 = 0. What is the greatest common factor of 17 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-57)\/(-76)*32\/(-30). Sort -1\/2, i, -2\/9, -3\/7 in decreasing order.\nAnswer: -2\/9, -3\/7, -1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + 35 + 4 + -6. Suppose -129*k - 1396 = -11329. Calculate the greatest common factor of k and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h - 4. Let f(o) = -o - 3. Let z(n) = 3*f(n) - 2*t(n). Give z(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 1012 = -4*c - 5*d, 2*c + 3*d + 508 = 0. Let r = 251 + c. Solve r*a + 9 = -0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 90 and 145570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the first derivative of -h**5 - 35*h**4 - 130*h**3\/3 + 70*h**2 + 135*h + 196. Find w such that a(w) = 0.\nAnswer: -27, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4\/3, -0.4, -76816, 1\/5?\nAnswer: -76816","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, -383 in descending order.\nAnswer: 2, 0, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**3 - 5*x**2 - 6*x + 3. Let j be (10\/(-6))\/((-3)\/(-9)). Is 11 a factor of y(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -3*i - 0*i, 4*s + 5*i + 17 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 + 406*h + 57. Determine v(0).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 - 63. Let c = 67.2 + z. What is the second smallest value in 3\/7, 3, c, 5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3577329466 plus 2?\nAnswer: 3577329468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3247 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -13, -4, -1 in descending order.\nAnswer: 1, -1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -238 = -5*d - 223 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77043835.\nAnswer: 5, 11, 31, 73, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -4*n + 5. Let -1 + 2*i + 4*i**2 + 0*i**2 - n*i**2 = 0. Calculate i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27313113859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5876 or 5962?\nAnswer: 5962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -91 + 141. Is ((-16294)\/4)\/(n\/(-100)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 838959492 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oog when three letters picked without replacement from oog.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1906148289 to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 222777 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -z**3 + 3*z**3 - z**3 + (-2 - 3*z**2 + 2)*(5*z - 16*z - 22*z) to the form k + i*z**2 + p*z + g*z**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 148 - 88. Suppose -z + 159 = -3*b - 4, 4*z - 4 = 0. Let x = k + b. Calculate the smallest common multiple of x and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 6:26 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-485 + 118 - 15 + (4 - 3 + 0)*(-7 + 2 + 3))*(-3*s + 4*s - 3*s) to the form x*s + o and give x.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.146, 0.4, -39\/4 in descending order.\nAnswer: 0.4, 0.146, -39\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m + 4*r + 1, -3*m + 5*r = -0*r + 4. Suppose 5*x - 5 = 5, 0 = -2*y - 2*x + 12. Let q = m - y. Solve -6*a - 12 = -q*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k**2 + 6. Suppose b - 3*b + 6 = 0. Let v be m(b). Suppose 11*d - 17*d + v = 0. Solve 3*x = d*p - 24, 3 = -5*x + p - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i**2 + 5*i + 5. Let z(k) = -3 - 2*k + 1 + k**2 - 4*k**2 + 4*k**2. Let q(f) = -2*x(f) - 5*z(f). Let r(u) = 3*u**2. Determine r(q(p)).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand p**4 + 3 - 3 + (-1 + 3 + 0)*(3*p**3 - p**2 + p**2)*(2 - 2 - 3*p).\nAnswer: -17*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 40 and 4120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1374706b - 4?\nAnswer: -13747073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*v + 28 = -2*u, -101*u + 103*u - 2*v = -6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 9 = 12. Let v(l) = -l**2 - 6*l + 12. Let d be v(j). Suppose f + 300 = 3*i, 0*i = d*i + 3*f - 514. List the prime factors of i.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - t = -13*k + 2*t + 90, -27094*k + 182 = -27095*k - 5*t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 544463 is divided by 12954.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -9*(0 - (-8)\/6). Let s be 63\/6 + (2 - (-7)\/(-2)). Let z = u + s. Which is smaller: -8\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + 110000001011011001001?\nAnswer: 110000001011011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 146, 17, -292, -775, -1426, -2239?\n\"Answer: c**3 - 96*c**2 + 152*c + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*i + 35 = 35*i. Let s = -73 - -67. Let g(h) = -2*h**2 - 12*h + 6. Let x be g(s). Solve -i*r + x = -4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.06 times 2166\nAnswer: -129.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/((-125)\/(-12))*(-10)\/(12\/(-6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -58093 and 398.\nAnswer: -23121014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 132592 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (66\/231)\/(((-5)\/5)\/21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (40\/(-25))\/(4\/(-10)). Solve 14 = -m + 5*c, 0 = -r*m + 4*c + c - 26 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 - 3*u**2 - 3*u + 2. Let w be i(4). What is the highest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 - 8*f**2 + 9*f - 12. Determine w(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v, -2*v = -3*m - 333 - 96. Find the common denominator of 4\/(-26) - 438\/m and -45\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-3)*(8\/(-10))\/1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r + 6. Let l be s(3). Let p(a) = -2*a + 0*a + l*a**2 + a + 3*a**2. What is the tens digit of p(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0763 * 0.0355\nAnswer: -0.00270865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.7 - 7.371?\nAnswer: -5.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 47888*k**4 - 8*k**2 + 1734.\nAnswer: 1149312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -2. Suppose -5*m - 5*j = -15, -5*j + 1 = -m - m. Let k(c) = c + 9. Give m*k(y) + 9*f(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10953.\nAnswer: 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*h - 15*h - 18 = 0. Let u be (6\/h)\/((-15)\/(-18)). What is the second biggest value in u, -3\/2, 3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = u - 24, 5*u - m + 0*m - 64 = 0. Let k be (3\/u)\/((-49)\/(-112)). What is the closest to 3\/5 in 2, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.127493 and -6?\nAnswer: 5.872507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -21895446*a**3 + 10*a - 823211?\nAnswer: -131372676*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 158.1 + -173.1. What is the second smallest value in j, -0.3, 5\/12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12)*2*-1)\/((sqrt(6) + sqrt(12)\/sqrt(2))*-1) + (sqrt(128)*1 + 2)*6)**2.\nAnswer: 1176*sqrt(2) + 4946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (3 - -17 - 20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57564.55 nanometers to centimeters.\nAnswer: 0.005756455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1328.3 - -1326.2. Let u = 2 - 2. Which is the second biggest value?  (a) k  (b) -0.1  (c) -1\/3  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -213*w**4 - 211*w**4 + 634*w**4 - 3*w**2 + 1 - 6*w**3 - 199*w**4 to k + j*w**4 + u*w + o*w**2 + p*w**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 70.9 - 70.4. Sort -0.02, 0, 1, o in descending order.\nAnswer: 1, o, 0, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 - 5*a**2 + 5*a - 6. Let z(c) = c**2 - 2*c. Calculate the remainder when z(-5) is divided by s(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 340\/(-2856)*(3 + (1 - (-77)\/(-20))). Let q = -0.2 + 1.2. What is the third smallest value in z, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4a6cc + -6?\nAnswer: -4a705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 554 + 530 + 72*z - 1084 as i + c*z and give c.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128*q - 17 = 2*a + a - 433, 0 = 7*q - 3*q - 5*a - 176 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2a3778a + -11?\nAnswer: -2a377a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 425 + 1472. Let x = t + -1921.78. Let z = -24 - x. Round z to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 - 61*r**2 - 818*r + 77. Let v be f(-41). Let s(m) = -2*m**3 - 11*m**2 - 5*m - 6. Let b(z) = -2*z**3 - 11*z**2 - 6*z - 7. Give v*b(w) + 6*s(w).\nAnswer: -2*w**3 - 11*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 301 - 299. Let d = 0 - 2. What is the third smallest value in d, 2\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the second derivative of -q**5\/20 + 3*q**4\/4 + q**3\/3 + 2*q**2 - 71*q. Let g be d(9). Is g at least 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 977 - 974. Solve 3*x + 2*r + 9 = -4, l*x = -r - 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1377350 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -25, 9 = -5*t + 9*t - 3*l. What is the tens digit of (-65)\/2*t*(-2)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.977 to 1 dp.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n + 2 + 2. Let g be ((-14)\/5)\/((-2)\/10). Suppose 5*a = -20, g = z - 6*z - a. Is z greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 50215 and 1847165.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 5*n = -20, 4*i - n - 4 = -3*n. Suppose w - 5*s - 14 = 0, 2*w + 4*s - 32 = -i*w. Solve g + 2*g = w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, v: 1, e: 1, t: 1, f: 1}. What is prob of sequence fue?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18.089577 + -0.4.\nAnswer: 17.689577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 + 8*q - 5. Suppose -m = -2*z - 17, 0 = -2*z + 2*m - 7 - 9. Let a be t(z). Suppose 2*r - 10 = 4*c - 0, 4*r + a*c = 8. Solve -k - 2 = r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/6*9\/(-6). Suppose -w + 5*n = 6*n, 2*n = 4*w. Suppose -14 - 6 = 5*f, w = 5*x + 2*f + 13. Which is the closest to r?  (a) 3  (b) x  (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of 0*r**4 + 0 + 3\/20*r**5 + 3*r - r**2 + 0*r**3. What is the first derivative of g(d) wrt d?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12 - -23. Suppose 11*w = 8*w - 72. Let o = -4 - w. What is the remainder when o is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k**3 - 16020*k**2 + 16005*k + 32030 = 0. Calculate k.\nAnswer: -1, 2, 3203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/6 - 307576\/(-24). Suppose -h = -10*s + 1005. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -44 - 535*t**2 - 1920*t + 36 - 37 + 177*t**2 - 277*t**2 = 0.\nAnswer: -3, -3\/127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1894320 and 4385.\nAnswer: 1894320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 23 + 209 = 0. What is the remainder when v is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 586868 + 427?\nAnswer: 587406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -11*m + 1. Let v = -928 + 543. Let d = 387 + v. Calculate h(d).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 163 - -128. List the prime factors of a.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24 * -124\nAnswer: -2976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -110, 0.03, -1\/3, 2\/3, 9\/19?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -12*v**2 + 277*v. Let r(i) = -2*i. Determine r(g(h)).\nAnswer: 24*h**2 - 554*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -0.5  (b) 0.2  (c) -275270  (d) 4  (e) 0  (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 92, 728, 1908, 3632, 5900?\nAnswer: 8712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9304, 9303, 9278, 9217, 9108, 8939, 8698, 8373?\nAnswer: 7952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6620 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**2 + 12*i + 4. Let x be a(12). Suppose r = x*r - 54. Suppose 4*t = t + r. Calculate the highest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = -5*k - 33, 0*k + 291 = -3*c + 85*k for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 269136 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6 times -0.0547424?\nAnswer: -0.03284544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 + (2 - 4))\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3132\/48 - (-2)\/(-8). Suppose m - 108 = 2*a - 0*a, 2*a = 4. Let p = m - j. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.6 and 1.407.\nAnswer: -0.8442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -220002021 (base 3) in base 8?\nAnswer: -42225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**3 - 3*j**2 - 9*j + 6. Determine z(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 29454253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - 12\/(-3)) + 370\/(-130). What is the second biggest value in -2, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10010001101111011 (base 2) in base 8?\nAnswer: -221573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i**2 - i + i + (54*i + 7*i + 71*i)*(-7*i - 2*i + 0*i).\nAnswer: -1190*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 2*v**2. Let p be (-2 - 2)*(-4)\/8. Let t(s) = -192 + 192 - 21*s**p. What is q(t(o))?\nAnswer: 882*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 915, 956, -747, -5064, -12865, -25020, -42399, -65872?\nAnswer: -96309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 + 50*y - 256. Let c be k(38). Calculate the highest common divisor of c and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4116 - 4095. What is the remainder when 3547 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -6 + 7 + 1 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*u - 57 = 31*u. Sort -1, 4, u, 20 in increasing order.\nAnswer: u, -1, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33341.\nAnswer: 7, 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -11\/3, 5, -3, 2.4 in descending order.\nAnswer: 5, 2.4, 0.2, -3, -11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2221312 (base 4) to base 6\nAnswer: 122154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 + 2 - -2)*1. Let c = 228250 - 228250.55. Is c less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 29401 - 29398 + 40*r**3 + 224*r**3 wrt r.\nAnswer: 792*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the third derivative of -7*a**6\/60 - 5*a**3\/6 - 12*a**2. What is the derivative of c(h) wrt h?\nAnswer: -42*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 440263007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**3 - 223*j**2 - 15416*j - 309260.\nAnswer: -(j + 35)*(j + 94)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34496 divided by 448.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 63034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 - 2*f)*(4*f - 133*f - 40*f) in the form l + q*f + b*f**2 and give b.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of 37*h**6\/120 + 11*h**4\/24 + h**2 - 94. Find the second derivative of n(z) wrt z.\nAnswer: 222*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36 and 8604?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 791 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -25, -57, -101, -163, -249, -365, -517, -711?\n\"Answer: -c**3 - 25*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 234980 is divided by 184.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 - (10 - (13 + -3))) + -16 + -3?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/2*(-30)\/(-9). What is the second derivative of 4*q**3 - 4*q**3 - o*q + 5*q**3 wrt q?\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -4*h**2 + 24*h + 21. Let p(k) = -k**2 + 6*k + 5. Let b(t) = 9*p(t) - 2*z(t). Let j be b(6). Suppose 0 = -0*n + j*n - 93. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**2. Let f = 2 - 2. Let u(a) = 3*a - 2*a + f*a. Determine u(q(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 34*b**2 - b - 4. Let y be 24\/(-14) + (-4)\/14. What is the remainder when k(y) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 89284515?\nAnswer: 3, 5, 19, 37, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*d - v = 1048 - 1088, -2*v + 30 = -4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = h - 7, 3*h - 2*h - 10 = 2*l. Suppose n - h + 8 = 0. List the prime factors of (n\/(-12))\/((-2)\/75).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -9. Suppose -1 = v*o + k + 5, -5*o - 4*k = 2. Let f(c) be the first derivative of c**4\/4 + 2*c**3\/3 + 535. What is f(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 315 - 312. Solve 0*w - w = 2*k - 13, 5*k = d*w + 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6836*p - 14971 = -6837*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-28)\/49 - (-36)\/14. Let s = -35 - -107\/3. What is t in s - 1\/3*t**c - 1\/3*t = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -158 - -161. Put -2, u, -1\/4 in decreasing order.\nAnswer: u, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 - -15. Suppose -3*u + o*u - 2 = 2*i, u = -2*i + 6. Let v(q) be the first derivative of q**2\/2 - 2*q + 60. Give v(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 - -9. Which is the second smallest value?  (a) -1\/3  (b) t  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 8*g + 6*g - 4*g + 4*g**2 + 0*g + 15. Let y be a(-6). Let d = 181 - y. Is d a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 245847323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(3) - (-2 + sqrt(3))*4).\nAnswer: -3*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25283, -25282, -25281, -25280?\nAnswer: -25279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 896\/17*a**2 + 2\/17*a**5 - 1372\/17 + 44\/17*a**4 + 332\/17*a**3 + 98\/17*a = 0.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (7 + (-63)\/9)*(-2)\/(-2). Let o(s) = s - 5. Let m be o(7). Solve -u - i - m = p, 5*u + 0*i + 20 = 5*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-8) - 590\/(-40). Let f(h) = -x*h + 18*h - h. Let c(l) = -2*l - 7. What is f(c(i))?\nAnswer: -4*i - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 51360.84ml in litres?\nAnswer: 51.36084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 3468?\nAnswer: -1734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1491\/4 - -7369\/20. Calculate the common denominator of (-3)\/(-60) - 43888\/(-37440) and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 4*f**2 - 5*f - 5. Suppose 0 = 4*i + 5*h + 35, i + 91*h - 1 = 93*h. Suppose 0 = -5*w - 10 - 20. Let a(u) = -5*u**2 + 6*u + 6. What is i*a(v) + w*d(v)?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 219541569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*v + 86 = -5*p, 2*v - 81*p = -78*p + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**2 + 8*h - 1. Let z = 30 - 36. Calculate o(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 32 + -32. Let p be 4\/8*w\/1. Factor 8\/5 - 6\/5*y**2 + p*y + 2\/5*y**3.\nAnswer: 2*(y - 2)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4858864 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -61176, -122366, -183574, -244800, -306044, -367306, -428586?\nAnswer: -489884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 + 2*c - 27 - 6*c - 4*c + 2*c + 4*c.\nAnswer: -2*c - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 + 6*p**2 + 6*p + 3. Let m be s(-5). Let j be 2\/m + -7 + 6. What are the prime factors of (52\/2)\/2 - j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 57 = 3*l, 8*a = 5*a. Suppose -l*n + 32 = -17*n. What is the remainder when 366 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 1) + (-4 + 13 - 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 + 5*b**2 - 1725*b + 8629. What is f(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -768 + 772. Solve -1 = 2*v - j + 5, -v + s*j = -4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18660 divided by -5.\nAnswer: -3732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, i: 2, e: 1, r: 1, c: 2}. Give prob of picking 1 e, 1 r, and 1 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -502, -501, -500, -499?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, 7.5, 1, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 558 a factor of 58929867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 3*i**5 - 2979759*i**4 - 2979762*i**3 = 0.\nAnswer: -1, 0, 993254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) 42  (c) -0.027  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36418686 is divided by 3962?\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 + 39*b**2 + 365*b + 180. Calculate x(-23).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -20*g**3 + 35*g + 15. Let k(q) = 3*q**3 - 5*q - 2. Let p(x) = 30*k(x) + 4*s(x). What is the second derivative of p(c) wrt c?\nAnswer: 60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 139 = -3*m, -3*a + 77 = -a + 3*m. Let h = 18 + 4. Let t = h - a. Let z(s) = -s - 3. What is z(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-51*c + 6 + 12*c + 29*c)*(4 - 1 - 2) - 5 + 5 + 2*c to n + r*c and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c8793 (base 15) to base 12.\nAnswer: -268219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(80) + (sqrt(80) - (sqrt(80) + -2 + -5 - sqrt(80))) + sqrt(80) + 4).\nAnswer: 55 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(1\/3)\/t**(-3\/10)*(t*t**0*t)**(-16) assuming t is positive.\nAnswer: t**(-941\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -2*r**3\/5 - 236*r**2\/5 + 11232*r\/5 + 1161216\/5 = 0?\nAnswer: -126, -64, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4031 (base 6) to base 4.\nAnswer: 31303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 31*q + 10 - 13 - 72*q)*(q - 1 - 14 + 16).\nAnswer: -103*q**2 - 105*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 447 and 13857.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -80, -165, -252, -341?\n\"Answer: -y**2 - 82*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 + -1. Suppose a - 3*a = -b. Suppose -a*s - 3*s = -45. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -288, 4, 5 in increasing order.\nAnswer: -288, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z**4\/3 - 50*z**2\/3 + 15 = 0. What is z?\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 61*c**2 + 76940*c + 2662307 wrt c?\nAnswer: 122*c + 76940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -408 + 2841?\nAnswer: 2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 + 35*j - 291. Give b(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of -3\/2*h**2 - 3*h + 0*h**3 + 1\/4*h**4 + 0. Find the first derivative of q(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.023 plus 1151723196933?\nAnswer: 1151723196933.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (80\/120 + (3 - -1))\/((-12)\/(-9))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22518232.\nAnswer: 2, 11, 83, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15.9982 + 16. What is a rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 69 = 5*w, 5*w = -5*t - 29 + 114. Let r = w + -9. Suppose 5*v + r = 3*v, 5*n + v = 72. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -320*o - 80348. What is z(-251)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 - 0)\/((-2)\/(-4)). Suppose -1 = 3*j - 2*l, -2*j + j - 2*l - 3 = 0. Let t be 24*(u + (j - 0)). What is the greatest common factor of 36 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 6015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.097 - -0.097. Let y = 48.1 - 52. Which is the closest to 1?  (a) j  (b) -3  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 x, and 1 j when three letters picked without replacement from {x: 1, f: 2, j: 2, p: 1, v: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**3 + 391790*o**2 + 783565*o + 391780.\nAnswer: 5*(o + 1)**2*(o + 78356)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 150677*x**6 - 342*x**2 + 12?\nAnswer: 18081240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 3*t = -18 - 11, 0 = t + 3. Let w = d + 2. Which is bigger: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + -3)*8\/(-56)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 5+9167.435\nAnswer: 9172.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 + 17 - 158*j**2 + 311*j**2 - 152*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-six fifths of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(396) + -2 + sqrt(11)*4.\nAnswer: -20*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 9 + 16 = 5*p, -5*p - 3*h + 19 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1081 in 7\/6, 428, -0.1?\nAnswer: 428","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*x + 118*x - 390 = 0. Solve -3*c + 21 = 2*o, -x*o - 15 = -4*c - 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1012)\/(-1265))\/(2\/8 - 65\/100). Let s = -10 + 5. Let h be (-30)\/(-24)*(-2)\/(-5). Which is the nearest to 1\/3?  (a) g  (b) h  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 163875 (base 10) to base 9\nAnswer: 268713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.1 + 0.1. Let g = -46173\/2 - -23086. Which is the closest to -1?  (a) g  (b) m  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 103 = 73435*y - 73434*y - 305, -3*y = -3*u - 114 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27 + -6. What is the highest common divisor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d = 7*d - 9. Let f be ((-1)\/(-2))\/(4 + d). Is f less than 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 2 v when four letters picked without replacement from zvvvvvvvvvvz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 112 - 82. Solve 86*j - h = 80*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 5*d + a - 45, -d = 3*a + 2. What is the greatest common factor of d and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 - 10. Let h be (-1 - 4)*c\/10. Find q such that -21 + 25 - h*q**2 + 15*q + q**2 + 14 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 5*z - 10 = 0, -12 = -w - 3*z + 4. Let u = 3257\/15 + -217. Which is the second biggest value?  (a) w  (b) u  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2604 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9*56\/(-2310))\/(2*(-21)\/70).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11*5*-4*30\/12100.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*y**3 - 229*y**2 + 229*y**2 - y.\nAnswer: -19*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -406393934823 and 0.112?\nAnswer: 406393934823.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-52)\/8 + 1)*-2. What is the third derivative of 20*i**2 + 3*i**3 - 5*i**3 + 0*i**2 + y*i**3 wrt i?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1539 is divided by 248?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/17)\/i)\/i*i**2)\/(i**(-2)*i**0)*((i**(-3)*i*i*i)\/i)\/(i**(-3\/7)\/i)*(i**(1\/4))**(-21\/5) assuming i is positive.\nAnswer: i**(3001\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the third derivative of 0 + 1\/24*v**4 + 0*v + v**2 + 0*v**3. Let h(d) = -4*d**2. Give w(h(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**2 - t - 286. Determine c(18).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 226 = -7*t + 191 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*k + 20. Calculate the highest common divisor of 110 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -76 + 82 - (-4 - (0 + 0))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-5)*45\/18. Differentiate -3 - 19*y**3 + 61 - j wrt y.\nAnswer: -57*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58657 + a**3 - 4*a**3 + 7*a**3 + 58736 - 117396.\nAnswer: 4*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 98576034, 98576035, 98576036?\nAnswer: 98576037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2139 times 45?\nAnswer: 96255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -51, -108, -203, -336, -507?\n\"Answer: -19*j**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 13319748 and 5512?\nAnswer: 26639496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4088\/1168*(-64)\/14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the second derivative of 25*p**3\/6 + p**2 + p. Let i be n(2). What is the greatest common divisor of i and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3320891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, -31, -1 in increasing order.\nAnswer: -31, -22, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 104373335 a multiple of 645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 69, 130, 187, 240?\n\"Answer: -2*z**2 + 67*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 + 27*f**2 + 28*f + 56. Determine w(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a + 1. Let n be w(3). Solve 4*c - 8 = h, 4*c = -h + 5*h - n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000261676793 to 7 dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h**5 - 2952*h**4 - 552332*h**3 - 35492976*h**2 - 935327744*h - 8672182272 = 0. Calculate h.\nAnswer: -64, -26, 3132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-96)\/912 - ((-1914)\/855 + 2)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, g: 5}. Give prob of sequence jgg.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 2*g**2 - 8*g - 39. Let f be l(7). Find the third derivative of 6*p + 14*p - 39*p**3 + 5*p + 2*p**2 - 38*p**f wrt p.\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from {r: 3, w: 6, d: 3, l: 1}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 101 - 74. Suppose 3*m + h - 75 = 0. Let x = -93 + 97. Solve -2*y - 12 = 4*s - s, x*y + m = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6464)\/2020*805\/56?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4 - 20*y**2 + 12*y**4 + 20*y**2 wrt y.\nAnswer: 48*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from fnoftox.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the first derivative of 0*i**2 - 1\/5*i**5 + 1\/3*i**3 + 0*i + 1 + 0*i**4. Determine t so that v(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v**3\/13 - 2*v**2 - 70*v\/13 + 98\/13 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 153448 to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5256676615?\nAnswer: 5, 1051335323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = -8*v + 367. Let i = v - 3. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-18 - 18 + 8)*(-3 + 1 - 22*h + 38*h) to the form a + q*h and give q.\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**2. Let a(o) be the second derivative of o**3\/2 - 6*o. Give m(a(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(3\/5)\/h**(-5))**(-42)*(h**(-1)*h**(-1\/8)\/h)**(-22\/3) assuming h is positive.\nAnswer: h**(-13177\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -4.5\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 divided by -48?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (838 - 838 - 161*d**2)*(5*d**2 + 2*d**2 - 4*d**2) + 0*d**3 + 0*d**3 + d**4.\nAnswer: -482*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -31539 - -1.029675\nAnswer: -31537.970325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of 6*g + 0 + 7\/6*g**3 + 0*g**2. Determine i(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-t**2 - 4*t + 4*t)*((-t + 0 + 0)*(-16 + 51*t + 16) + t**2 + 2*t**2 - t**2) to p + j*t + a*t**3 + w*t**4 + y*t**2 and give w.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -53 - -53. Let a = -27.9 + 29.9. What is the closest to x in -4, -6, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -3*y**3 - 1842*y**2 + 3*y + 1842 = 0.\nAnswer: -614, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1505979803 to the nearest integer?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 67 divided by -1\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*-2944517.\nAnswer: 1472258.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -4*t**5\/3 + 25*t**4\/3 + 22*t**3\/3 - 7*t**2\/3 = 0.\nAnswer: -1, 0, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -438843, -438841, -438839, -438837, -438835?\nAnswer: -438833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 3*a**2 + 2. Let u = 0 - -2. Let m(w) = 0 + 3 + 33*w**2 - 29*w**2. Give u*m(j) - 3*f(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3)\/(-9))\/(4 + (-4 - -3)). Let k = 60.9 - 64. Let j = k - -0.1. Put 2\/13, p, j, -0.1 in decreasing order.\nAnswer: 2\/13, p, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*d**2 - 4*d + 4*d - d**2 + 4*d**2 - d**2 + (2 - 1 - 2)*(-2 + 2 + d**2) + 6 - 6 + 4*d**2)*(d + d - 4*d)*(2*d**2 + 2*d**2 + 0*d**2).\nAnswer: 88*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -33*31\/(-181412)*-56.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-34416)\/(-128) + (-2)\/(-16). Suppose -3*v = -12, o = 5*g + 2*v + 76. What are the prime factors of g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20162 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*r - 2 = 12*r. Sort 5, r, 2 in decreasing order.\nAnswer: 5, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-c + 4*c - c)*(1 - 5 + 3)*(8*c - 58 + 58) to f*c + q*c**2 + r and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 297241157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1333\/4 - (-3)\/(-36)*3 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*z + 2*b, -3*b + 13 = -z - 6*b. Suppose -2*s + z = -8. Suppose -s - 13 = -3*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -0.4  (c) -3\/2  (d) 4\/7  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-9)\/(-6)*2*7 is divided by 4 + 0 + (-2 - -9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72206?\nAnswer: 2, 79, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 572926857?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/14*(105 - 84). Which is the biggest value?  (a) -0.13  (b) 9  (c) y  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-1\/10)*g**22*g assuming g is positive.\nAnswer: g**(229\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -136, -135, -134, -133, -132, -131?\n\"Answer: b - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 4*y**3 - 3*y**2 + 4*y - 4. Let u be m(3). Let w = -74 + u. Let d(x) = -x**3 - 3*x**2 - x - 4. Let c be d(-4). Does w = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of m**8\/756 - 2*m**7\/315 + 4*m**5\/135 + 75*m**2\/2 - 45*m. Let l(y) be the first derivative of f(y). Let l(o) = 0. Calculate o.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of -17*l**4\/6 + 5*l**3\/3 + 7*l**2. Let o(s) = -23*s + 3. Let i(x) = 7*o(x) - 2*v(x). List the prime factors of i(-4).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -q - z + 33, -z + 157 = -5*q. Let u = -32 - q. Which is the nearest to u?  (a) -2  (b) 1  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -1 - (2 - (-2 - -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8821444 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1333\/17 or 77?\nAnswer: 1333\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y - 6*y = -10. Let z = y + 25. Suppose -4*h + 32 = 4. What is the remainder when z is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a**2 + 7*a - 2. Let n(f) = 19 - 3*f**2 - 5*f**2 - 29*f - 4 - 6. Let d(p) = -2*n(p) - 9*w(p). What is the second derivative of d(g) wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 537418332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.4  (b) 0.2  (c) -1\/23  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 271719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the second derivative of 31*w**8\/28 - w**7\/21 + w**4\/6 + w**3\/3 + w - 18. Find the third derivative of b(k) wrt k.\nAnswer: 7440*k**3 - 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -117  (b) 5  (c) 0  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 15755676.93 milliseconds?\nAnswer: 0.026051053125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 207*w - 21033 + 24759 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of 6*t + 3 + 21\/4*t**4 - 21\/2*t**2 - 2*t**3. Determine f, given that q(f) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**3 + 10*z**2 + 11*z + 16. Let s be b(11). Let d(r) = -19 - s*r + 5*r + 8*r. What are the prime factors of d(-19)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -58 - 1. Let k = o - -209. Let f = 149.86 - k. Round f to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**3 - 11026*t**2 - 764470*t - 13335350.\nAnswer: -2*(t + 35)**2*(t + 5443)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -30 or -12?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yunc when four letters picked without replacement from xnunnunucnucuyn.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 417 - 287. Suppose i + 9*i = v. Is i <= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 308691 and 22248?\nAnswer: 2469528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6\/(-7) - 0)\/(13\/(-91)). Suppose -15*z + a = -12*z. Suppose z*o - 5*w = 15, 0*w + 3 = -2*o - w. Solve h + 9 + 0 = 4*c, 3*c - 9 = o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4531 + -13591\/3. Let m(k) be the third derivative of 5*k**2 + 0 - 7\/6*k**3 + 0*k - x*k**4. Find the first derivative of m(u) wrt u.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = -s + o + 16, -5*o - 20 = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*w + 35*u + 872, 5*w - 381*u + 100 = -766*u + 380*u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p + 4*y - 737, 5*p + 3*y - 710 = 522. Calculate the highest common divisor of 95 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 + 5194*j - 72913. Give z(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2432433 (base 6) to base 4.\nAnswer: 133132011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 38 + 22. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 - 9. Suppose 5*q - q - 24 = m. Suppose q*c - 17 - 1 = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -118 by -2.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z and 1 t when four letters picked without replacement from zzmztzmmwmtmmmmm?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 41 - 39. What is the common denominator of t\/9 + 2094\/(-4320) and 31\/50?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.765 times -0.23\nAnswer: 0.63595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, -2 in increasing order.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -11301 (base 5) to base 9\nAnswer: -1117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -2*d - 8. Suppose -2*v + 2*h + 5 = 3*h, -4*h + 10 = 3*v. Suppose 0 = v*u - 10*u - 72. Calculate the least common multiple of 10 and t(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15678 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 1:18 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 2*d**2 - 11*d + 22. Let f be (-2)\/1 + 17 + -8. Is y(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q**3 - 4538793*q**2 - 1716790507200*q - 53216144032500 = 0.\nAnswer: -756450, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - 2. Suppose 8 = 4*y - 0. Suppose 4 = 5*w - y*u - 12, 2*w + u = 1. Solve -3*g = -x*a + 3*a, -w = g + 2*a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**0)**7\/(w**15\/(w*w**(-8))))**31 assuming w is positive.\nAnswer: w**(-682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 742 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (20\/(-22))\/(2075\/(-60258)) + -16*1?\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.086433 centimeters in meters?\nAnswer: 0.08086433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2674 + 0?\nAnswer: 2674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -203, -473, -757, -1061, -1391, -1753?\n\"Answer: -z**3 - z**2 - 260*z + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*h = -757 + 102 + 57 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 167*r - 168*r + 7, 3*t - 3*r + 6 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 2*z - 2*z)*(0 + 5 - 3) + (-5*z + 0*z + 3*z)*(-3 + 1 + 0) + 16*z - 36*z + 18*z + z + z + 0*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -55, 3.13, -4, 0.1, 3\/2?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-1*(sqrt(19) + (sqrt(57)\/sqrt(48))**2) + 3) + (4 + sqrt(114)\/(sqrt(48)\/(sqrt(8) - (sqrt(8) + sqrt(32)))))**2 + -5.\nAnswer: -21*sqrt(19) + 1537\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2600\/20 - (382 + -331).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:38 PM and 1:35 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 + 4*x**2 + 7*x + 13. Let a = 24412 - 24416. Give f(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -809, -675, -541, -407, -273, -139?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 68267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 646 + -642. Put k, 3, -5, 67 in descending order.\nAnswer: 67, k, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00435887233 rounded to 5 decimal places?\nAnswer: 0.00436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*t**4 - 4240063*t**2 - 5067459*t + 6 wrt t.\nAnswer: -36*t**2 - 8480126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -571  (b) 2\/3  (c) 3  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2c91a8 (base 14) in base 7?\nAnswer: -16163001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q + 2*q - 12561945. Suppose -q + 10009033 = 4*x. Suppose -3*g - x = 5*t + 675845, g + 1020002 = -2*t. What is t rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 42 + -42. Solve -c + 3 - 6 = j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/10 + (-302)\/(-5). Suppose p = 6*s - s. Suppose -w - 4*j - 17 = 0, 0 = -w - 4*j + j - s. Calculate the lowest common multiple of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 3*k = 9, 4*m + 48*k - 45*k = 9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*h - 9. Suppose 3*i + 366 = 5*c, c - h*i - 14 - 46 = 0. Calculate the highest common factor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 - (32 - 11 - 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 - 5. Suppose 7*m = q*m. Suppose m = 2*k - 14 - 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -20514*t**3 + 61815*t**2 wrt t.\nAnswer: -123084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 61480, 61597, 61804, 62101, 62488?\nAnswer: 62965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9\/(-15*(13\/(-3) + 4)). Which is smaller: 1\/2 or b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -3*x**2\/2 + 6063*x - 12253323\/2 = 0?\nAnswer: 2021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -18, -38, -84, -168, -302?\n\"Answer: -2*q**3 - q**2 - 3*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 38082*h. Let j(s) = -s**2. Give j(q(b)).\nAnswer: -1450238724*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*y - y**4 - 2*y**2 - 4 - 2 + 8*y + (2*y - 6*y + 2*y)*(-4 - y**3 + 4) + 5*y**4 - 4*y**4 - 2*y**4 - y**4 + 0*y**4 - y**4.\nAnswer: -2*y**4 - 2*y**2 - 2*y - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6211\/1122 - -249\/34. Suppose 80*k - 350 = 55*k. Calculate the common denominator of g and (-70)\/(-300)*254\/k.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + t + 15 = -2*i, -5*t + 55 = 5*i. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2204678380.\nAnswer: 2, 5, 347, 491, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 5 = -3*i + 4*i, 2*i = 4*d - 4. Let z(y) = -y + 5. Let o be z(4). Suppose -f + 5 = -2*f, -3*f - 5 = -5*x. Sort d, x, o in increasing order.\nAnswer: x, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 5\/2*u**2 - 4*u - 1\/2*u**3 = 0. Calculate u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 427278068?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1.458501 micrograms?\nAnswer: 0.001458501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from vhwmmwwwwwwwwmwvmwv.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 7 + 23. Let h(q) = 5 + 0 - 4*q + 0 - 1. Let m(p) = -11*p + 11. Determine y*m(s) - 17*h(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-796)\/6*(25 + -22). Let z = 459 + g. Calculate the remainder when z is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/8964 and 97\/1476?\nAnswer: 367524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q + q - q)*(6*q**3 + 3*q - 3*q) - 1 + 4 + q**4 - 5*q**4.\nAnswer: 8*q**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 128261806 - 128261806 - q. Let r(x) = -10*x. Let b(k) = -5*k. Let c(g) = -5*b(g) + 3*r(g). Calculate y(c(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-20)\/c*c\/(c**(-4)*c) assuming c is positive.\nAnswer: c**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -35 - -38. Suppose -s - 7 = -5*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/(-8) + 234\/504. What is the nearest to z in 14, 3, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/((-1 + 2)*-1). Let g(d) be the second derivative of 2*d + 0 + 3\/20*d**5 - 3\/2*d**2 + 0*d**4 + v*d**3. Differentiate g(j) with respect to j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/5 - 2\/(-90) - (-125 - -125).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2\/3 + 50226248*t\/3 + 630668997039376\/3.\nAnswer: (t + 25113124)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 162 is divided by 62.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -25.111 times 358\nAnswer: -8989.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/(-1568)*-8)\/(6\/21).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.6660785 tonnes?\nAnswer: 666078.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -709569, -1419132, -2128695, -2838258, -3547821?\n\"Answer: -709563*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 40700.03 grams in kilograms?\nAnswer: 40.70003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 - -2) + 2 + (-4345)\/670. Let n = h - 1\/67. What is the common denominator of 61\/78 and n?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b**2 - 2*b**2 + b**2)*(-1648*b**2 + b**3 - 3*b**3 + 1639*b**2).\nAnswer: 2*b**5 + 9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-1\/4)\/r*r)**20\/(r*r*(r**(2\/7)*r)\/r)**(-1\/5))**(-10\/9) assuming r is positive.\nAnswer: r**(106\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 192579820 and 6080.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 + 4*t - 3. Let f be v(-5). Let z = f + -2. Suppose z = -0*q - q + 17. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -10*h - 6. What is s(-5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -129*m**2 - 241*m**2 + 370*m**2 + 272*m**4 + (0*m - m**2 + 0*m)*(3*m - 2*m - 4*m)*(0*m - m + 0*m).\nAnswer: 269*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - -3. Suppose 3*h + f = 22. Solve h*q = 4*q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 1675656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b - 522*c + 524*c + 352, -4*b + 481 = -5*c. What is the greatest common factor of b and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express s**3 + s**3 - 5*s**3 - 2334*s**2 - 577*s**3 + 2334*s**2 + (2*s - 6*s + 3*s)*(0*s**2 + 4*s**2 - 2*s**2) as u*s + r*s**2 + w + x*s**3 and give x.\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/10)\/p*p*p)**(5\/2) assuming p is positive.\nAnswer: p**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.7173783 litres?\nAnswer: 717.3783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 671689546.\nAnswer: 2, 11, 257, 118799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -190.9 + 190.8992884. What is y rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -15*l**3 - l**2 - 2*l. Let d be a(-3). What are the prime factors of d\/6*(-2 - -3)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 4, -3\/8992, 1, -3.4, -0.1?\nAnswer: -3\/8992","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**2 - 3*w**2 - 9*w + 4*w - 2*w**3)*(24*w + 156 - 156).\nAnswer: -48*w**4 - 48*w**3 - 120*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1476998.5 rounded to the nearest 10000?\nAnswer: -1480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2687197*w**2 - 57*w + 26071?\nAnswer: -5374394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 80 or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 63 + -77. Let k = 2 - 9. Let m = k - j. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2081030000 = -73*o + 24*o. What is o rounded to the nearest 1000000?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1150066 (base 7) to base 3.\nAnswer: -21102222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7.2 + -7. Let p be (-6)\/(-24) + (-12)\/32. Which is the closest to -0.1?  (a) 3\/7  (b) d  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1556202264?\nAnswer: 2, 3, 23, 463, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 1)*(2*o + 0 + 0) - 5*o + 3*o + o - 9*o - o - o.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 20 = 2*w, -3*b + 2*b - 3*w + 5 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*k - 5*s = 24*k + 13055780, 0 = 4*k + 4*s + 26111584. Round k to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-38)\/8 + 2)*(2 - (-66)\/(-11)). Let y(a) = a**3 - 11*a**2 + 8*a - 2. Determine y(g).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 2 + 2 = 0. Suppose 4 = 2*a - 0*a. Suppose 5*u - 37 = -4*q, 0 = f*u + a*q - 0*q - 26. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7914033 is divided by 4451?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 q, 1 t, and 1 h when four letters picked without replacement from vvvbqht.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 10 + 3391?\nAnswer: 3401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuuu. What is prob of picking 4 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i + 3. Let k be m(10). Let j = 25 + k. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 3*p**2 + 197*p + 2748. Calculate b(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 + 4)*236\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.243736572065 from 0.5.\nAnswer: 0.256263427935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -84787, -84588, -84261, -83812, -83247, -82572, -81793?\nAnswer: -80916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 - 5*y**2 + 5*y + 4. Let m be f(4). Let l = -1 - -3. Let w(i) = i**2. Let d be w(l). Solve -2*p = -4*t - 4 + 22, -t + m = -d*p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43569511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 - ((-2)\/(-4))\/(3\/(-78)). Let f(y) = y**2 - 12*y + 27. What is the units digit of f(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 2:39 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 541 - -1131a?\nAnswer: 11860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 45625 (base 7) to base 12\nAnswer: 6894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 10*d**3 + d**2 - 6*d. Is u(2) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 2 = 0, -v = -y + 2*y + 62. Let i = -228 + 138. Let x = y - i. What is the remainder when 46 is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jnji when four letters picked without replacement from {j: 3, n: 1, c: 1, k: 1, i: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2132989395 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 30804347 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the first derivative of n**2\/2 + 2*n - 1. Let q(j) = j + 1. Let h(i) = -4*c(i) + 6*q(i). Give h(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17.5 times -31133\nAnswer: -544827.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 6 = -3*x + 10, 0 = -3*n + 6. What is the hundreds digit of 9\/((-1)\/474*3*x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the second derivative of -21*l**4\/4 - 6*l**3 - 195*l. What is the second derivative of h(c) wrt c?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + -1\/4. Which is the biggest value?  (a) -1\/5  (b) y  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 30\/20 - (-15755)\/2. Let c = f + -267961\/34. What is the common denominator of c and 71\/10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 896 by 4.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 2059977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**2 - 4*h**2 + h**2 + 51*h + 3*h**2 - 51*h + (-2 + 6 - 3)*(4*h**2 - 2*h**2 - h**2) + 3*h - 3*h + 3*h**2 + 2*h**2 + 2*h**2 - 2*h**2 + h + 2*h**2 - h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-1)\/(t*((((t*t**8)\/t)\/t)\/t)\/t)*(t\/t**(-2\/5)*t)**(-3\/20) assuming t is positive.\nAnswer: t**(-184\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 3) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, 2, -0.1, -222630?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.13 - 895613355\nAnswer: -895613354.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 2\/101  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -79*k + 8 + 64*k + 14 - 6*k**2 - k**3 - 6*k**2. Let q be n(-11). Round q to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vbvcavvcaabvv. What is prob of sequence ab?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g**2 - 5*g**2 + 3*g**2)*(1 - 1 + 2)*(2 - 4 + 5).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 - m - 1. Suppose -11 + 9 = w. Let i be r(w). Suppose 3*s = 3*d + 30, -2*d = 3*s - 0 - i. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10334609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -18*n**4 + 0*n**4 + n**4 - n**2 + 14*n - 3*n**4 - 2 - n**4 wrt n.\nAnswer: -252*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, t: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + 2 + 140 + -130 + -11?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*(-1)\/(-28))\/(300\/800)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6350 = -17*m + 383. What is the common denominator of 6\/21 - (-487)\/231 and (39\/m)\/((-4)\/(-38))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -49\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 3*v - 1528 = 0, 5*c + 11*v = 8*v + 1522. Suppose -2*w + c = -5*x + 3*w, -179 = 3*x + w. What is x rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1608455 (base 9) to base 3.\nAnswer: 1200022111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (14 - 19)*(4 + -1 + -2). Let v = 1.81 - -0.19. Which is the nearest to 1?  (a) v  (b) -0.5  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/((-10)\/(-45) - (-70)\/(-72)). Solve 4*o - g*j - 9 = 3*o, 0 = -5*o - j + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1452\/63 + -10 - (8\/84)\/(-1 + 3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -133 + -8?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5954 + 114072. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/4))**(12\/17)*x**(2\/3)*x**(-6)*x assuming x is positive.\nAnswer: x**(-212\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 394 a factor of 24677379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqnqqnqnnrqn. Give prob of sequence nrq.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 7 = -0*k + 3*n, 5*k - 35 = 5*n. Let q = -2 - -6. Suppose -k*f = -q*f + 36. Calculate the highest common divisor of f and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 37689553 and 44?\nAnswer: 150758212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -245 - -24. Let n = -221.0162 - a. What is n rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 223.8256 millilitres to litres.\nAnswer: 0.2238256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -15*h**2\/7 + 43*h\/7 + 6\/7 = 0. Calculate h.\nAnswer: -2\/15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -17*f + 9. What is the tens digit of c(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 28  (b) -2  (c) -1\/7  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 - z. Let c(d) = -3*d**4 - 21*d**2 + 6*d. Let q(v) = -c(v) - 15*g(v). Suppose q(s) = 0. What is s?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5234 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1340 - -1358. Let b = 30 - 26. Solve 0 = -11*j - b - p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -2*j**3 - 4*j + 2. Suppose 11 = -2*g + 17. Let d(p) = 2*p**3 + 3*p - 2. Determine g*u(t) + 4*d(t).\nAnswer: 2*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes before 2:44 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 3 = -0*b. Let f be 7\/5 + b\/5. Suppose -5*m = f*c - 122, -2*m - 2*m = -c - 108. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -43*j - 212*j + 39*j + 1000*j**2 - j**3 - 1058*j**2.\nAnswer: -j*(j + 4)*(j + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 7*m**3 + 3*m**2 - 3. Let d(b) = 8*b**3 + 4*b**2 - 4. Give 6*d(q) - 8*v(q).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-19)\/(-209)*(-2)\/(-8). Which is smaller: q or 21?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -5*f + 18. Suppose -671 - 323 = -f*m. Let q = m + -75. List the prime factors of q.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + -2 + 5 + -2. Let o = -8 - -6. Is q bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1246000 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from svvwvvvsvslssvvvawwv. What is prob of picking 2 s?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17949, 17676, 17403, 17130?\nAnswer: 16857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1599 (base 12) in base 4?\nAnswer: -220011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5922.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-8)*p**(6\/13)*(p\/(p**8\/p)*p)**22 assuming p is positive.\nAnswer: p**(-1528\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1794\/4*(-25172)\/(-651).\nAnswer: 2, 13, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 31152, 74490, 117828, 161166?\n\"Answer: 43338*c - 12186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2719829 is divided by 1102?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 0, 70, 18094, 7, -3 in descending order.\nAnswer: 18094, 70, 9, 7, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6104 divided by -603?\nAnswer: -6104\/603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1107 a factor of 458165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 312 divided by -78?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 0 = 4. Suppose g*w + 70 = 3*t - 2*w, 4*t - 135 = -3*w. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19531 - 19523. What is the remainder when 173 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 32955840 and 1647792.\nAnswer: 32955840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 31*h - 17. Let j be ((-37)\/(-74))\/(2\/244). Suppose 0 = -j*z + 70*z + 54. Let q(p) = -15*p + 8. Calculate z*w(k) - 13*q(k).\nAnswer: 9*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 135451 - 10?\nAnswer: 135441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 + 68*c**2 - 866*c - 17. What is t(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.10425 - 5.79575. Let c = -78 + 89.6. Let u = c + z. What is u rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 3 = -2*x - 21, 0 = 4*x + 5*m - 42. Let z(n) = n**3 - 6*n**2 - n + 6. Let h be z(6). Solve h = -4*w + x*j - 15, 0*j - 2*j = 4*w + 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) -0.1  (b) -2\/7  (c) 6  (d) 2\/135\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - sqrt(26)\/sqrt(2))*6 - (sqrt(104)*1)\/sqrt(8) - ((-2*(5 + sqrt(52)))**2 + -1).\nAnswer: -307 - 81*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((1 + 8)*1)\/1. Let b = -2 + s. Which is smaller: 9 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -4*l + 11. Let p(v) = -v + 4. Determine 11*p(c) - 4*x(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 156, 160, 182, 228, 304, 416, 570, 772?\nAnswer: 1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -16, -2\/43, 110, -3\/2, -0.31, -0.2?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.2, 4, -2\/19 in ascending order.\nAnswer: -2\/19, 0.2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.7 from -104.\nAnswer: -103.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 3 o when four letters picked without replacement from ooiooi.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 167 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11\/((-4675)\/40)*(-140)\/28?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 32*b - 56. Calculate the remainder when 191 is divided by d(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 2 + 1 + 3*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16788 by 1301.\nAnswer: 16788\/1301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (30528\/320)\/(-53)*-5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -12*i**3 - 6455 + 143*i**3 + 6454 + (-3*i - 3*i + 5*i)*(0*i**2 + 3*i**2 - 5*i**2).\nAnswer: 133*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * 107956.\nAnswer: 43182.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -5 + sqrt(153)\/sqrt(225).\nAnswer: -5 + sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 351*i**2 - 16*i**2 - 107*i**2 - 98*i**2.\nAnswer: 130*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5146253 is divided by 711?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2351.9785 and 9.\nAnswer: 2360.9785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f + 10. Suppose -3*u + 14 = 2*r, 5 = 3*u + 4*r - 17. What is the lowest common multiple of u and w(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -22  (b) 2\/5  (c) 1\/3  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7307 + 1993*n**2 - 14611 + 7307 - 195*n wrt n?\nAnswer: 3986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 157\/114 and -157\/572394.\nAnswer: 572394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.345 - 4.2. Let i = c - 0.144879. What is i rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, t: 1, d: 13}. Give prob of picking 1 a and 1 d.\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -101, -106, -111, -116, -121?\n\"Answer: -5*l - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 46 - 80 + 88*d + 34 + 4*d**2.\nAnswer: 4*d*(d + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the second derivative of s**4\/12 + 421*s**3\/6 - 211*s**2 + s + 58. Factor z(v).\nAnswer: (v - 1)*(v + 422)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -3*r**2 + 24*r - 39. Let l(w) = 2*w**2 - 16*w + 26. Let q(y) = 7*l(y) + 5*t(y). Let d be q(6). Let a = 54 + d. List the prime factors of a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4310 and 246230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 208770.\nAnswer: 2, 3, 5, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of -11*o**2\/2 + 59. Let x(m) be the third derivative of m**5\/30 - 20*m**2. Calculate y(x(f)).\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 30433 = 752. Let l = 8737 + a. What is l rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -11*n**2 - 12*n. Let p(z) = 2*z**2 - 2*z - 2. Let x(u) = d(u) + 5*p(u). Calculate x(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-530)\/40 - (-32 + 18))\/(438\/(-16)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 38 = 3*c - 2*d, -2*c + 16 = -d. Let m be 90\/(-20)*(-4)\/c. Suppose m*f - 3*f**3 - f**2 - 3 + f**2 + 3*f**2 = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (4 + -2*sqrt(396) - (5 + sqrt(396)*2))**2 + -5*((sqrt(11) - (sqrt(176))**2) + 3)*-2.\nAnswer: 58*sqrt(11) + 4604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - 1.2. Let m = 92 - 92. Let r = m - 7. What is the closest to r in 1\/3, n, -2\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (-6 + 1 - -3) - 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3332 - 1722. Let u = -861 + d. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 592210?\nAnswer: 2, 5, 59221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of v**3\/3 - 3. Let z(h) be the third derivative of -h**5\/5 - 10*h**2 - 3. What is g(z(t))?\nAnswer: 144*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 42.77 - 41.87. What is the nearest to 0.1 in -1\/8, -5\/4, c?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6911*w + 6812*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 259721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6773944 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.8 in 5, -0.1, -0.5, 0.02, 9\/7, 27?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2\/5, -19\/24, -50?\nAnswer: -19\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*x - 31*x + 18*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4 - ((-5 - -1) + -3). Solve 0 = -x*s + 13*s + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 y when three letters picked without replacement from {h: 3, b: 4, y: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 492 is divided by 221.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-8)\/(-38)*1)\/22. Let b = k - -408\/1045. What is the closest to b in 5, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 - -10. Let n be 2\/((z - -3)*1). Let q be -2 - (n + 0 + -4). Put 5, -1, q in descending order.\nAnswer: 5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2113 (base 4) in base 11?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c = 3*s - 11, 0 = -5*c - 17*s + 18*s - 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 99 - (-35)\/5 - (-4625)\/185\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 21*r**2. Let x(w) = 9*w**2 - 7. Let p(u) = 4*u**2 - 3. Let n(y) = -7*p(y) + 3*x(y). Give v(n(z)).\nAnswer: 21*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 - -720b?\nAnswer: 720a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -58, -563, -1970, -4729, -9290, -16103, -25618?\n\"Answer: -75*r**3 - r**2 + 23*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.042403, -5, 861 in descending order.\nAnswer: 861, 0.042403, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 8426756.3496 take away -2616?\nAnswer: 8429372.3496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (246\/48 + (2 - 0)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of 1\/2*u**2 + 95*u + 118\/3*u**3 - 139. Differentiate i(f) wrt f.\nAnswer: 236*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 302329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06 * -259.\nAnswer: -15.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(102)\/((sqrt(432)\/sqrt(9))\/sqrt(8)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from goiomgmoioww. Give prob of sequence igio.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -21*w**2 + 15*w + 17. Let v(n) = 7*n**2 - 5*n - 6. Let z = -97 + 80. Let d(s) = z*v(s) - 6*u(s). Does 25 divide d(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29467260 a multiple of 1385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 275 is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - (-16 - (6 - 11)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 54210 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 2\/17, 3, 1\/4, 2, -0.7, 475?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.023438*0.36\nAnswer: -0.00843768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -13715*m*w - 9091349*m - 50*w**3 wrt w?\nAnswer: -13715*m - 150*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 2*j = 11, -6 = 5*l + 2*j + 15. Suppose 0 = 9*h - 6*h - 11*h. Suppose h = -9*w - 519 + 438. Sort l, 0.3, w in increasing order.\nAnswer: w, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13895*p - 13898*p + 3*u = -18, 5*p = 2*u + 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in thirteen fifths of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.5, 75564, -1\/27?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36181?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 1883411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (34*j + 62*j + 43*j)*(2*j**4 - j**4 + 0*j**4)*(-3 + 0 + 2).\nAnswer: -139*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 5*m + m**2 - 5*m**3 + m**3 + 8 - 3*m**3. Is z(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20784 = 31*j - 20350 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -108 - -203. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*x**2 - 133*x**2 - 74 + 138 - 72 as b*x**2 + z + n*x and give b.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 61 - 53. Solve 2*w = 5*d + 1, -n - 1 = -3*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1 + 13*z - 6*z - 4*z**2 - 1 wrt z.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 2*p**2 + 6*p - 11. Let j be m(3). Let g be ((-330)\/132)\/(15\/(-36)). Solve 5*v + 5*c - j = 0, -v + 5 + g = 3*c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 PM and 2:03 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*y + 75*y = 5030. Let b = y - 316. What are the prime factors of b?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5374331064?\nAnswer: 2, 3, 23, 149, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.031 + -0.301. Let m be -4 + ((-26)\/2)\/(-8 - -5). Sort -2\/3, m, p, 4 in decreasing order.\nAnswer: 4, m, p, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence moop when four letters picked without replacement from {h: 2, f: 1, o: 4, p: 4, i: 3, m: 3}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c - 171. Let z(r) = -5. Give -j(s) + 2*z(s).\nAnswer: -s + 161","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of 13*z**5\/60 - 4*z**2. Let f(o) = 2*o. What is f(n(u))?\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-44 - -47 - (-11 + 2)) + (-16 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * 3104441.47\nAnswer: -620888.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 4*g = 21, 3*z + 4*g - 31 + 12 = 0. Let y be ((-2)\/(-30))\/((-2)\/4). Which is the fourth biggest value?  (a) 3  (b) y  (c) z  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 16334 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**2 + 176. Suppose 0 = -t - 2*f - 8, 5*t - 5*f - 4 = -4*f. List the prime factors of o(t).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -3*m**2 - 31*m + 84. Let h(p) = 8*p**2 + 62*p - 167. Let x(c) = -2*h(c) - 5*k(c). What is the units digit of x(27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -210*m = -197*m - 208. What is the least common multiple of m and 206?\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.9, -16, 2.\nAnswer: -16, 0.9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 869 and -8.\nAnswer: -6952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = 2*t - 4*k, 3*t - 11 = 6*t + 5*k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 - 0) + -8 + 6. Suppose b = 11*j - 13526132 - 98673868. What is j rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 31029624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(1700) + 5 + 1 + 3*sqrt(1700))*-6*1)**2.\nAnswer: 11520*sqrt(17) + 979776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 minus 6.03?\nAnswer: -1.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - 7. Is a <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-56)\/(-6) + (5 - 2). Let v = z + -11. Let 1\/3*j**2 + v*j + 4\/3 = 0. What is j?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1915308*j**6 - 71*j**2 + 991 wrt j.\nAnswer: 229836960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24229 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101*s = -119624 + 114170 for s.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 490 = 474 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25146 is divided by 1004.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.2746 and 54203404?\nAnswer: 54203403.7254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -150\/163 - -509\/1793. What is the common denominator of l and 48\/25?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 173 divide 8519819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1206)\/(-134)*6\/(-27)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2.2, -16 in decreasing order.\nAnswer: 4, -2.2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 40.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111 - -1011010010000000110101?\nAnswer: 1011010010000001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 3048*a**3 - 6*a**2 - 7*a - 24. Let l be o(11). Let s = 7143939 + l. Round s to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -356, 152, -4, 182.\nAnswer: -356, -4, 152, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * -0.15581385\nAnswer: -0.077906925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 4*p - 6. Suppose -5*b = -57 + 7. Let k be (-2 + 0)*b\/(-4). Let o be c(k). Solve o + 1 = -5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 6 = r - 8, 4*i - 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -2, 27 in increasing order.\nAnswer: -4, -2, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116 = -13*m - 45*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p + 22. Let n be z(-20). Let o(m) = -1221*m + 2*m**n + 1221*m. Let y(v) = -6*v. Give o(y(a)).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10017654 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23 (base 11) to base 15.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) - (sqrt(34)*1)\/sqrt(2)) + sqrt(85)\/(-3*sqrt(5)).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 364 and 4895163?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 - 5*u + 8. Let h be v(-6). Let t = h + -1. Let z be 0*(1 - (-6)\/(-3)). Is z >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((10 - 4) + (-32)\/5)*20\/(-524)?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -175, 0.45, 2\/7?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 6*b - 290. Let v = 63 - b. Solve 0 = 2*w - v*o - 3 - 9, -5*w - 2*o - 28 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 145\/6 and -17\/186?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**21*w)\/((w\/(w*w**(-20)))\/w*w) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qd when two letters picked without replacement from ttttrdrttqrgtgttt?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p*p*p\/p**4)*p**(-2\/13)\/p)**24)**(-5\/6) assuming p is positive.\nAnswer: p**(-220\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 = -2*t + 3*m, 2*t - 3*t + 22 = m. Suppose 6 = -5*v + 86. Let b = t - v. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + -2. Suppose j*k = 81 - 31. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -67 - -1?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g - 5*g - 54 = 0. Let u = 13 - g. Let k = -0.41 - -0.01. What is the third smallest value in k, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -28697498*d**3 - 13305967.\nAnswer: -86092494*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1404, -1360, -1282, -1164, -1000, -784, -510, -172?\n\"Answer: h**3 + 11*h**2 + 4*h - 1420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -82 divided by -38967.\nAnswer: 82\/38967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 164 + -164. Let g be (-2)\/5 + 19\/((-190)\/(-534)). Which is the fourth biggest value?  (a) s  (b) -4  (c) 2\/3  (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - 12662?\nAnswer: -12664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*(2\/(-1) + 2). Suppose m = -w - w + 6. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c and 1 o when four letters picked without replacement from xioyoxciyxxycyxocy?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -21452, -42913, -64386, -85877, -107392, -128937, -150518?\n\"Answer: -r**3 - 21454*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + p - 9 = -2*y, -2*y = -5*p - 1. Let v(j) = -2*j**3 - 9*j + 6. Let w(u) = -u + 1. Calculate p*v(r) - 6*w(r).\nAnswer: -2*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12 + -8. Suppose -3*y + 9 = -i - 4*y, 0 = 4*i - g*y + 44. Let b(f) = -f - 7. What is the units digit of b(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 2 v when four letters picked without replacement from mvvvvvmvvvmmmvmmmm.\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 126, 314, 826, 1824, 3470?\n\"Answer: 27*k**3 - k + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 12*p**3 - 16*p**2 + 13*p - 6. Let q be o(10). Suppose 2*b = -10*b + q. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7520 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u**3 + 5*u**2 - 8*u - 8. Is t(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*p**3 + 4*p**2 - 2*p**2 - 6*p**3 + 7*p + 9 - 3*p**2 to i + q*p**2 + d*p**3 + f*p and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*1\/10*2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 143254\/7 - 157223\/7. Let y = 1999 + k. Factor -y*z**2 + 4\/7 + 10\/7*z.\nAnswer: -2*(3*z - 2)*(4*z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 2*y - 72. Let t be (1 + 0)*(-16)\/y*-9. Let i(w) = -w - 4 + 2*w + 8 + 2*w**t - 3 + w**3. What is i(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:58 AM and 1:01 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - 6*a + 180. What is the remainder when a is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-7)\/(z\/((z\/z**(-5))\/z*z)))\/(z**(-1\/4)*z\/z**(1\/4)))\/((z*z\/(z**1\/z)*z*z**(1\/13)\/z)\/(z**(1\/9)*z\/(z*z*z**8))) assuming z is positive.\nAnswer: z**(-3151\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 26 - 25.8. Which is the second biggest value?  (a) -0.1  (b) -0.04  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 85377890 and 260.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 708791.1 to the nearest 10000.\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -14214, -14218, -14222?\n\"Answer: -4*z - 14210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5250)\/((-47)\/(-440) - (-8)\/(-44)). What is d rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 5*j - 13. Let d(s) = -6*s + 1. Let f be d(-3). Find the second derivative of -19*x**2 + f*x**2 - j*x**5 - 8*x wrt x.\nAnswer: -80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 319*n**3 - 18501*n**2 + 18125*n + 57 = 0. What is n?\nAnswer: -1\/319, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10 - 7)*2\/(-3) - 0. Let g be 7 - 6\/(-1 - -4). Which is the closest to 1?  (a) s  (b) 4\/3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 plus 34.45?\nAnswer: 29.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 1\/6, -1, -1\/7, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3389 + 3471. Let j(g) = -76*g**2 + g. Let h be j(-1). Let q = s + h. Which is the third biggest value?  (a) 0.5  (b) 0.4  (c) 0.1  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 6583.224 minutes?\nAnswer: 394993440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-1 - (-4 + 3 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**2 - 42*g - 195. What is q(-36)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.11843 + 6.16843. Sort 2\/7, f, 5, -0.1 in increasing order.\nAnswer: -0.1, 2\/7, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/((-2)\/(-2))*-2. Let n be 4\/(-2) - g\/1. Suppose -n*d - 2 = -3*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = 91*f + 11 - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - (31 - (-7 + (1 - -72))).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2)*(9*w**2 - 9*w**2 + 45*w**2).\nAnswer: -90*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 4*p**4\/9 - 6052*p**3\/9 + 789748*p**2\/3 - 60453452*p\/9 + 309147440\/9 = 0.\nAnswer: 7, 20, 743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + ((-3 - 4) + -7 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 56 = 4*k, 3*x + 2*x - 66 = 3*k. What is the least common multiple of x and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 13.21244 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + b - 70238 = 0, 5*b = 2*d - 6*d + 70230. What is d rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -749 - -748.94. Let j = -2.85 + 2.8. Which is the fourth smallest value?  (a) 2  (b) r  (c) j  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.39 <= 0.258707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 823851082 to the power of 1\/3, to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 240*v - v**2 + 368*v - 427*v to the form u*v**2 + z*v + p and give z.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11057433.\nAnswer: 3, 3685811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -58*r**4 + r**2 + 59*r**4 - 11*r**4 - 2*r**3 + 1 + 2*r to j*r**3 + d*r**2 + f + v*r + l*r**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1085 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 2 = 0, -2*c = y + 35 + 12. Let s = -0.03 + 4.03. What is the closest to 1 in s, -3\/2, c?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -5*(-2)\/6*(-74832)\/(-8). Round z to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97*y - 11 = 96*y. Suppose y*t + 5 = 12*t. Solve 0*x + 4*x + 20 = 0, t*j + x = -10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 27310.89 to the nearest ten.\nAnswer: 27310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 s when three letters picked without replacement from sssllldsdjjl.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 99592847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the second derivative of 1\/2*s**2 - 1\/6*s**3 - 7*s + 0. Let h(o) = o**2 - o + 4. Determine -h(k) + 3*x(k).\nAnswer: -k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + 42255?\nAnswer: 42254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123*i + 85277 = -70*i. Are i and 1608 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/10)\/(27\/(-6)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 2 = 4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1469.8 and 0.4.\nAnswer: -1469.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 730 and 9344.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 604 = 2*z, -2*j + 2*z + 234 = -z. What is the remainder when 119 is divided by (j\/(3 + -7))\/(-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -2*j**4\/3 + 4*j**3 - 8*j**2 + 20*j\/3 - 2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + 2. Let j(b) = 1. Let y(a) = 5 - 4*a - 8 + 2*a. Let c(x) = f*y(x) + 4*j(x). Give c(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6319, 6312, 6301, 6286, 6267?\nAnswer: 6244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1047288, 1047285, 1047282, 1047279, 1047276?\nAnswer: 1047273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-4)*2\/(-3). Let j = 3 + -4. Which is smaller: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 66045005 by -13209001.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2970 divided by -15\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 62 - 6. Calculate the greatest common factor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 4955 + 20780. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 8*a**2. Let m(x) be the first derivative of 1\/24*x**4 + 12 + 13\/2*x**2 + 0*x**3 + 0*x. Let l(f) be the second derivative of m(f). Give l(i(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**2 - 6. Let y(g) = 1. Let o(m) = j(m) + 6*y(m). Let b(k) be the first derivative of -13*k**3\/3 + 1. Determine o(b(i)).\nAnswer: -169*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -2*i**2 + 5*i - 3. Suppose 0 = 4*w - 6*w. Suppose w = s + y + 4, 4*y - 3 = -s - 10. Let m be (17 - 11) + (s - 0). What is n(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 444902 is divided by 44486.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 191 is divided by 100?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4807 and 1311.\nAnswer: 14421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.1293 times -8.2369\nAnswer: 1.06503117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**0\/h*h**(-1\/5)*(h**(1\/3))**(-9\/11) assuming h is positive.\nAnswer: h**(-81\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 5*i + 77. Let c be d(-15). Solve -k + 2*m = 11, 2*k - c*m + 15 = -3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12171*o**2 + 5*o + 10368*o**2 - 5*o - 14130*o**2.\nAnswer: 8409*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -1\/2  (c) -0.0078  (d) 0.12  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 35*a + 3. Let x(j) = -j**2. What is q(x(u))?\nAnswer: -35*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 1\/3  (c) -64  (d) -0.093\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*i**5 + 5217*i**4 + 36*i**3 - 62652*i**2 + 83472*i = 0. Calculate i.\nAnswer: -4, 0, 2, 1739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 190*j**2. Let s(i) = i + 52. What is s(d(k))?\nAnswer: 190*k**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 568*w + 1067*w + 682*w - 200*w.\nAnswer: 2117*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -27426*i + 134961. Give p(5).\nAnswer: -2169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-25 - 3) + 23 - -28) + (-3 - (0 - 2))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/498612 and 55\/1332?\nAnswer: 1495836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-103876*f - 257 + 222 + 220 - 185)*(1 - 2 - 1)*(4 - 4 + 2).\nAnswer: 415504*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lsl when three letters picked without replacement from llllsslllsllll?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17\/(-3)*(227 - 224).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -68\/33 + -80\/11. Is -9 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 + 156. Suppose 8*k = 3*j + 4*k - d, 0 = -4*j - 4*k + 256. Calculate the remainder when j is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1358013 + 13523041\/10. Let l = 5704 + r. Find the common denominator of -59\/14 and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -352043 (base 6) in base 10?\nAnswer: -30267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 776*p - 869*p + 3720 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 3\/2, 164, 0.36?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 120 + -20120001002222100?\nAnswer: -20120001002221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 89 and 2366599.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5996.\nAnswer: 2, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 3*c**3 + 20*c**2 - 10*c - 3. Let a be t(-7). What is the common denominator of -34\/7 and 219\/a*4\/((-40)\/(-5))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 2*k = -808, k = 6*n - 5*n - 812. Is 24 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*o = 43*o - 392. Let t = 10 - 7. Suppose b - t - 14 = 0. Calculate the remainder when o is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + 1 + (0 - (-11 + -33 + 13))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 0.3, 1\/4, 4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g**4 + 34604*g**3 + 149714202*g**2 + 299324600*g + 149645000 = 0.\nAnswer: -8650, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 n when three letters picked without replacement from pfudnnnnnufnfdd?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 4*c - 5. Let b be y(-5). Let o = b + 25. Suppose o = 24*f - 20*f - 48. Solve 3*s = -0 - f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/15 + (-22)\/(-10). Let x be (-1)\/o*(9 - 1). List the prime factors of (-195)\/(-12) + (-3)\/x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3286.1944 less than -812?\nAnswer: -4098.1944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 16086804 and 14589.\nAnswer: 48260412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4844 - -4837. Let d(l) = -5*l + 11. Calculate d(h).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-87)\/145*8\/6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -161, -562, -1223, -2138, -3301, -4706, -6347, -8218?\n\"Answer: x**3 - 136*x**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*x - 23*x - 27*x + (-2 - 4 + 2)*(3*x - 4*x + 5*x))*(-2 + 2 + 2*x**3).\nAnswer: -120*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14 and 3766.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 2*r - 20. Let v be j(17). Suppose 0 = v*y - 11*y + 168. Let t = 90 + y. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -9*u + 20. Suppose 5*d - 70 = -u*d. What is the remainder when 16 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*c - 31*c - 87*c + 249*c**2 + 14*c - 254*c**2.\nAnswer: -5*c**2 - 146*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (-7 + -5 - -8) - (-9 + 13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 e when three letters picked without replacement from errerererrrrrv?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 16) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 3:42 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39488 and 256?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -2557*x. Let p(r) = -2*r. Give q(p(j)).\nAnswer: 5114*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -28 - -27.97. Let b = s - -0.03. What is the closest to b in 1\/2, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -51?  (a) 2  (b) 5  (c) 3\/2  (d) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 times 4605.235?\nAnswer: 142762.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -377894 (base 12) in base 6?\nAnswer: -31221504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 23, -13, -111, -301, -613, -1077?\n\"Answer: -5*g**3 - g**2 + 2*g + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 60 and 31665.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(7) + sqrt(7)*5*1 - sqrt(7)))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 175801?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 10*j**3 - j**2 + j. Let k be o(1). Suppose -5 = -7*g + 2*g. Suppose 0*b = b - g. Calculate the highest common divisor of b and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 21*y**2 + 2*y**2 + 29*y**2 + 3*y**2 + 0*y**2 - 5*y**2 + (2 + 0 + 1)*(2*y**2 + 4*y**2 - 4*y**2) - 2*y**2 + 4*y**2 - 3*y**2.\nAnswer: 55*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -21 + 503?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1430 (base 5) to base 16.\nAnswer: f0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2051, -4098, -6145, -8192, -10239?\n\"Answer: -2047*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 23*t**2 - t + 4*t**4 - t**4 - 2*t**4 + 293 - t**3 - 293 as w*t**2 + q*t**4 + p*t**3 + k + s*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -350.18 - -345. Let v = d + 3.18. Sort v, 3, 2\/25 in descending order.\nAnswer: 3, 2\/25, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 4428*s + 867809. Calculate d(-196).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2156 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 9:55 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.0471 + -0.9529. Are t and 142\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -35, 61, 287, 637, 1105, 1685?\n\"Answer: -l**3 + 71*l**2 - 110*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 12) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*g + 49*g - d = -1, -547 = -g + 546*d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 - 5. Let x(r) = -4*r**2 + 5*r + 5. Let y(l) = -2*l**2 + 2*l + 2. Let b = 1 - 3. Determine b*x(f) + n*y(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 312\/(-84) - 2\/7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29925, 29924, 29923, 29922, 29921?\nAnswer: 29920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (5\/(-2))\/(-5)*(-3)\/(-3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 2*m = -96. Let t = 13 - 24. Let y = m - t. Sort 2, y, 0 in ascending order.\nAnswer: y, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the second derivative of -45*w**8\/8 + w**5\/10 - w**4\/12 - 1001*w**3\/6 - 106*w. Find the third derivative of x(i) wrt i.\nAnswer: -37800*i**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 2*a - 0*u + 2*u, 38 = a - 4*u. Suppose -5*v = -20, 3*y - v + 4 = a. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 11) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 285 and 23190.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9666, 18985, 28304?\nAnswer: 37623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 196910 and 407400?\nAnswer: 11814600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.1987 litres in millilitres?\nAnswer: 2198.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/7, 32\/7, 102\/5, 653 in increasing order.\nAnswer: 3\/7, 32\/7, 102\/5, 653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*f**2*j*n**2 - 693*f**2*j - 377*f**2*n**3 - f*j*n**3 - 2*f*j*n**2 + 211*f*j - 2*j*n - 728*n**3 wrt f?\nAnswer: 14*j*n**2 - 1386*j - 754*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -3*u**3\/5 + 35829*u**2\/5 + 3977823*u\/5 - 4013649\/5 = 0?\nAnswer: -111, 1, 12053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 at most as big as 53\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*z - 4*z + 48. Suppose -5*w + 18 = 2*x - x, 0 = -2*x - 2*w + z. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.8 - -1.2. Let p = 1 + 4. Which is the nearest to 1\/2?  (a) p  (b) q  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -439, 2 in decreasing order.\nAnswer: 2, -11, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6212, -6209, -6204, -6197?\nAnswer: -6188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 719?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13463654 (base 7) to base 14.\nAnswer: 24add4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -603*t**2 - 196 wrt t?\nAnswer: -1206*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-440 + 440 - 16*q)*(0 + 0 + 5).\nAnswer: -80*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 56\/156187?\nAnswer: 56\/156187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 + 10. Let j = -0.044 + -2.056. Let c = j + 2.5. What is the nearest to -0.1 in t, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 170466 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -o - 39 - 6*o + 17*o - 8*o + 156.\nAnswer: 2*o + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + -1 + 2 + 6 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (60\/35)\/(48\/21 + -2). Let c(p) = 17 + t*p - 17 + 5*p. Calculate c(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 15 + 7 + 0*a - a. Suppose -x = 5*d - 63, 2*d + 3*x = -2*d + 46. Give v(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 80 and 1393224?\nAnswer: 13932240","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let w = -23.55 - -24. What is w rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 1452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-91*b - 51*b + 4 - 16*b)*(-3*b**3 + 6*b**3 - 4*b**3).\nAnswer: 158*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*q = -19*q - 11*q - 67 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 3*h - 1941 = 0, 2*c - 5*h = -c + 1155. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 208 * 1.399\nAnswer: 290.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5839 plus 14?\nAnswer: 5853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 4, 12, 14\/29, -4 in descending order.\nAnswer: 12, 4, 14\/29, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -433, -1\/4, -26 in decreasing order.\nAnswer: 5, -1\/4, -26, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6552?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 85\/22440*-6*104.\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7426, -7432, -7450, -7486, -7546?\nAnswer: -7636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1025 divided by -1025\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2796 - 2796 - q. Let a(k) = -538*k**2. Determine v(a(h)).\nAnswer: 538*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 51735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (270\/4 - 1\/2) + 3. Let q = b + -58. Suppose 2*r = -2*g + q, -5*r + 22 = -2*g - g. Solve 4*s = r*z - 35, 0 = -5*s + 3*z - 3 - 31 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5)\/(15\/(-6))*56. Let o = -65 + d. What are the prime factors of o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4046 + 6146. Let d(p) = 4*p**3 + 4*p**2 - 4*p + 13. Let j be d(6). Let m = z - j. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -28\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 670 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 - 154 = -o - z, -4*z - 202 = -2*o. Solve 0 = -21*d + 6*d + o for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes before 5:58 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52007169?\nAnswer: 3, 569, 30467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 448938710 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = y - 7. What is the highest common divisor of y and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/3787 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/7  (b) 2  (c) -2  (d) -4\/3  (e) 6.8  (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 0*k**2 - 30*k**3 + 43 + 0*k**2 + 34*k**3 wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19 + 16. Let o be l\/((-9)\/(-2)) + 98\/21. Let h be (-1)\/((-3)\/((-3)\/(-5))). Which is the smallest value?  (a) -0.19  (b) h  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3151192?\nAnswer: 2, 11, 35809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 - 232711\nAnswer: -232710.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 8 = 3*p. Suppose k + p = -4*u + 14, -5*k + 26 = 3*u. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4044 and 4?\nAnswer: 4044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 293264236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 535891\/20140 + -2799\/106. Calculate the common denominator of x and -85\/342.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes before 2:57 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**2 + 5*r + 22. What are the prime factors of f(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 555 and 1255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/5?  (a) 10  (b) -276  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(405) + -5.\nAnswer: -6 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 53\/4 of a kilogram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6899752537*i**2 - 182*i**3 - 6899752537*i**2.\nAnswer: -182*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zhzzzzzzhzz. What is prob of sequence hz?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 220 = -4*t, 5*i + t = 5*t - 364. Let y = i + 1374. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1759404 to the power of 1\/2, to the nearest integer?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -541 + 538. What is the closest to 1\/3 in 5, -41, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4459 + -5d?\nAnswer: -44b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, -3, 60.\nAnswer: -4, -3, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7496.335 litres to millilitres.\nAnswer: 7496335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (432\/72 - (2 + -13))*(23 - 5225\/228).\nAnswer: 17\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1 + sqrt(33)\/(sqrt(55)\/sqrt(5))).\nAnswer: 6 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express h - 6*h + 3*h + (2 + 3 - 1)*(7*h - h - 4*h) as d + z*h and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 213 = -3*p + 5*p - u, 4*p - 3*u - 429 = 0. What is the remainder when p is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 2*x**3 + 7*x**2 - 76*x - 191. What is n(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 55934, 56030, 56126, 56222, 56318?\n\"Answer: 96*v + 55838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -2 + -7 - (312 + -326) - -2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4314*z = 535*z + 1520*z + 12738 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.8900047 to 1 decimal place.\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -j**3 + 124*j**2 - 241*j - 366 = 0.\nAnswer: -1, 3, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) 55\/4  (c) -0.1  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.863828s to nanoseconds.\nAnswer: 4863828000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/(-15) - 26\/15. Which is the closest to 2\/7?  (a) 1\/2  (b) q  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/24)\/((78186\/(-249))\/942)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**3 + 116760*b**2 + 851939328*b - 1704345728.\nAnswer: 4*(b - 2)*(b + 14596)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -22 + (-3 - -4) + 10 + (-15 - (4 - 18))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14 - 14. Suppose -r - 4*r - 2*p = -14, l = -4*r - p + 13. Solve 4*h - r*q = 20, 2*h + 3 = 3*q + 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u + 8. Let d be c(-4). Let z(k) = d*k - 6*k + 3*k. Let f(i) be the first derivative of -4*i**3\/3 - 53. Give f(z(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r. Let g(a) be the first derivative of a**3\/3 - 4*a - 3. Let s(d) be the first derivative of g(d). Give s(m(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (3 + sqrt(128))**2.\nAnswer: 48*sqrt(2) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12\/7 + 31\/14. Put 3\/5, 3, t, -8 in descending order.\nAnswer: 3, 3\/5, t, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -2447, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 1415 = 31. Suppose 3*r = m - 2129, 2*r - d = 3*r + 3*m. What is r rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(768) + (-2*sqrt(432))**2 - (sqrt(18)\/sqrt(6) + 1)**2*-6.\nAnswer: 28*sqrt(3) + 1752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**2 - 31*b + 4. Let o be j(-31). Is (o\/(-2))\/(24\/(-24468)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (119*(-36)\/378)\/(5*4\/(-30)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -79820, -159668, -239516, -319364, -399212, -479060?\nAnswer: -558908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22 + 21 + 4*j - 42.\nAnswer: 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -3 + 8 - (1 - -15 - -23).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 83795.78 litres in millilitres?\nAnswer: 83795780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 4*x - 159 = 0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 530116587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.498932094 + 74.501062006. Let f = -58.2 - 17.8. Let w = d + f. Round w to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110110011011101 (base 2) in base 10?\nAnswer: -27869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 172050 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*h + 1 - 1)*(2 - 1 - 2) + 5 - 5 - h - 13*h - 8*h + 6*h)*(2*h - 3*h + 4*h)*(-2*h + 0*h + 5*h)*(h - 6*h - 3*h)*(1 - 1 - 1).\nAnswer: -1296*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2 - 6 + 4*x**3 + 7 - 12 - 10*x**2 - 2*x wrt x.\nAnswer: 24*x - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -48*d**4\/7 - 243*d**3\/7 - 63*d**2 - 345*d\/7 - 99\/7 = 0?\nAnswer: -33\/16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 187645*p**3 + 375040*p**2 - 500*p = 0. What is p?\nAnswer: -2, 0, 50\/37529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + 4f8?\nAnswer: 4f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1479, 1503, 1543, 1599, 1671?\n\"Answer: 8*g**2 + 1471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2715365*c**3 - 6*c - 14358 wrt c?\nAnswer: -16292190*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000012182 rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -104*t**4 + 18*t - 3 wrt t.\nAnswer: -1248*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-1\/4))**(-6\/11)\/(((i\/(i\/i**(-4\/5)*i))\/i*i*i)\/i*i**(-2)))\/(((i*i**(1\/3))\/i)**16*i**(-2)\/(i*i\/((i**(2\/3)*i)\/i*i))) assuming i is positive.\nAnswer: i**(103\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 112.919 - 113. Let x = 14.781 + n. What is x rounded to zero dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-17 + 4 - -6)*-7*2 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -16*z - 57. Let y be v(-4). What is the units digit of 0\/(-1) + y + 1636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 210 = 2*w - 4*m, m - 27 - 208 = -2*w. What is the lowest common multiple of 135 and w?\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -30771*g**5 - 23831*g wrt g.\nAnswer: -615420*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -182, 5 in descending order.\nAnswer: 13, 5, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 230714 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -739394, -1478773, -2218152, -2957531, -3696910, -4436289?\n\"Answer: -739379*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(((-77)\/91)\/(-11))\/(-1)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j + 8. Let t be c(-6). Let g(k) = -4*k**2 + 2*k**2 - 2*k + t*k. Let p(u) = -2*u**2 - u. Give -3*g(d) + 2*p(d).\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 46804 or 46803?\nAnswer: 46803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12 + 3140113?\nAnswer: 3140101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 5*h**2. Let d be k(-1). Which is bigger: 6 or d?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 4*z**2 - 8*z + 26. Let w(a) = a**2 + a + 9. Calculate u(x) - 3*w(x).\nAnswer: x**2 - 11*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, -22, -95, -250, -517, -926, -1507?\nAnswer: -2290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*v**2 + 13*v**2 + 4*v**2 + 6*v**2 + 1 - 1 + (v + 4*v - 3*v)*(-4*v + 2*v + v) + (v - 3*v - 4*v)*(v + 2*v - v) - 4 - 2*v**2 + 4.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*a - 3*a + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 - 47 + 15)*(-o - o + 0*o).\nAnswer: 84*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-121 + 35 - 230)*(-5 + 0 - 3)*(2*j - 3*j + 3*j).\nAnswer: 5056*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 28*j - 32. Let z(a) = 25*a - 35. Calculate -4*m(d) + 5*z(d).\nAnswer: 13*d - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8126\/5, -19, -2\/3.\nAnswer: -8126\/5, -19, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 410 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3459467069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3746799303?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -192*b*f*r + 115663*b + 57*f*r**2 - 2*f with respect to r.\nAnswer: -192*b*f + 114*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -x + 172500005, -n - 3*x = 2*x + 34499975. What is n rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 58, 373, 1276, 3061, 6022?\nAnswer: 10453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 766 = -6*b + 802. Solve 20 = -b*j + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45300 divided by -12.\nAnswer: -3775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1216) - -3*sqrt(1216)*2.\nAnswer: 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 3*y + 0*y - 2*y. Let o(z) be the first derivative of -91*z**2\/2 - 39*z + 10. Let d(p) = 9*p + 4. Let s(i) = -39*d(i) - 4*o(i). What is s(x(q))?\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wikk when four letters picked without replacement from kiwddiiwidikdiii?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24122016 and 1728?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -456*y = 526*y + 11*y - 27804 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z**5 - 7508*z**4 - 6*z**3 + 22528*z**2 - 15016*z = 0.\nAnswer: -2, 0, 1, 3754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -32\/15 and 131\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the first derivative of -v**4\/4 - 16*v**3\/3 + 34*v**2 + 6*v - 49. What is the hundreds digit of f(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 3*j = 9*j - 16*j - 7, 0 = -56*l + 3*j - 156 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a + 85. Let c(l) = 6*l. Give c(q(o)).\nAnswer: -12*o + 510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 - 2. Is (a\/18)\/(2\/(-1266)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44 + -44.28. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 44943665405.52103 - 44943853510. Let y = a + 188103. Let g = y + 1.48. What is g rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2 + 7*s + 7. Suppose -5*g + 3*i - 66 - 69 = 0, g + 5*i = -55. Let q be (g\/25)\/((-2)\/(-10)). Let z be r(q). What is z rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -346205 greater than or equal to -346296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 42717*o**3 + 638*o - 1595. Let w(t) = -403*t**3 - 6*t + 15. Give -6*q(c) - 638*w(c).\nAnswer: 812*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 13\/39*(-2 - -1). Let f = -7.4 - -0.4. Let r = f - -11. What is the nearest to 0.2 in -0.3, m, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4373083 less than -2363?\nAnswer: 4370720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13.62um to centimeters.\nAnswer: 0.001362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -122159 (base 10) in base 2?\nAnswer: -11101110100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1273\/98021*1*-2?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - 440044?\nAnswer: -440053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.335 * 27.3\nAnswer: -9.1455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3002563, -3002562, -3002561, -3002560, -3002559?\nAnswer: -3002558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 2*i - i. Let y = 45 - i. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the second derivative of -f**7\/21 + 59*f**5\/20 - f**3\/6 + 14*f**2 + f + 8. What is the second derivative of q(u) wrt u?\nAnswer: -40*u**3 + 354*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85*c = 97*c - 113 - 251 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 40505\/8 - 5071. Find the common denominator of (-70)\/(-6) - (-6)\/(-4) and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 PM and 10:27 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*h - 72 = -9*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -2*3\/(-90)*-6*-10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 921441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 826086 is divided by 380?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 3*v + 656. Let y = v - -146. Let f = y + 34. Calculate the remainder when 77 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - d, 2*t + 5*d = -2*t + 4*d. Sort 1, -5, -3, t.\nAnswer: -5, -3, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 87 - 33 = -10*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 292 is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -206935715 rounded to the nearest 1000000?\nAnswer: -207000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 165 and 591090?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 27 - 13 = 0. What is the tens digit of ((0 - -1) + (-80)\/d)*-14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the second derivative of 0 + 7\/2*b**2 - b - 1\/2*b**3. Is x(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the first derivative of p**3\/9 - p**2 + 3*p + 408. Factor u(s).\nAnswer: (s - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -145412, -145437, -145462?\nAnswer: -145487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**5\/7 - 52*c**4\/7 - 482*c**3\/7 - 1840*c**2\/7 - 2432*c\/7 - 1024\/7.\nAnswer: -2*(c + 1)**2*(c + 8)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yybybyyy. Give prob of sequence yb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d - 4. Suppose -4*k - 5*r = 54, 48*k - 51*k - 5*r = 43. Give i(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 3*a**2 + 22*a - 23. Let x be (4 - (-28)\/(-10))\/((-8)\/160). What are the prime factors of v(x)?\nAnswer: 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in twenty-seven fifths of a micrometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4400 is divided by 157.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.159 take away 8?\nAnswer: -7.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffbgffgffffqfqff. What is prob of sequence qbg?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 777269629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12 - 19. Let s = f + 1. Let n(k) = -4 + 2*k + 11 + 0. Determine n(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 816900*o**6*v - 63*o**4*v**3 - 4080*o**2*v**3 - 44*o**2*v - 3*o*v - 2 wrt o.\nAnswer: 98028000*o**3*v - 1512*o*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jz when two letters picked without replacement from qjjjqqmzqqqqzlzzl?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -10*k**2. Let q(s) = 5*s + 4. Calculate q(i(y)).\nAnswer: -50*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -21 in -1.2, 1, -2\/5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -1  (b) -0.16697  (c) 2  (d) 7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011 - 11100?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n - 6*n = j - 2, 2 = -3*n + j. Solve 0 = 5*l + v + 12 - n, -4*l - 5*v = 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(11\/3)\/m)**(16\/5)*(m**11)**(-36) assuming m is positive.\nAnswer: m**(-5812\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that o**3\/6 + 40907*o**2 - 163629*o\/2 + 122722\/3 = 0.\nAnswer: -245444, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + 16, -10*b = 4*s - 8*b - 396. Solve 0 = 8*c - s + 129 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 29907 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8)\/3 + (-12)\/(-18). Let a be 1\/(-2) + (-97)\/z. What is the greatest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44935731*-3.\nAnswer: 134807193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-1 + sqrt(153))**2.\nAnswer: -6*sqrt(17) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2112215 minus -7?\nAnswer: -2112208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 210 and 175.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/(-6)*(-18)\/(-4). Let k = 6 + h. Solve 4*t + 15 = -2*q + 3*q, k = -2*t - 3*q - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*h + 275 = -12*h. Let n = -52 + h. Suppose -n*o + 2*p = -4*o - 9, 6 = o - 3*p. Sort o, 2\/9, -0.1 in decreasing order.\nAnswer: 2\/9, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from tqg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -986*l + 988*l - 2*s + 18 = 0, -3*l - 37 = -4*s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1249 - 1255. Suppose -2*r - 5*q = -3, -4*r = -2*q + 3*q + 3. Sort 1, l, r, -2 in descending order.\nAnswer: 1, r, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002875498826 to five dps.\nAnswer: -0.00288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 618545 by -32555.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 18*y**3 + y**2 - 2*y + 3. What are the prime factors of r(2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qkik when four letters picked without replacement from kodqqyyi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(156)\/((sqrt(96) + sqrt(96)*1)\/sqrt(8)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*x - 15 - 1 = 0, 4*x = -3*c + 28. Suppose -c*n + 6 = 5*a - 0, -3*a + 2 = 2*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 629 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 2 a when four letters picked without replacement from xaoxoraaxx?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**25\/p*p\/p**33 assuming p is positive.\nAnswer: p**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 38*o**2 - 108*o**2 - 41*o**2 + (4 + 2*o - 4)*(-o - 2*o + 5*o) as r + t*o + h*o**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -125 - -234. Let z(m) = -107*m + 210*m - q*m. Let k(o) = o**2 - o - 4. Let y be k(3). Let f(p) = -p. Determine y*f(u) - z(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1*(3 + ((-316)\/(-108))\/(-1))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 5 - 3 = 3*b, b = 3*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 7) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*k + 76 = -114*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 229, 785, 1665, 2869?\n\"Answer: 162*g**2 + 70*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 17*z - 5. Let n(b) = -b - 12. Let h be n(-9). Let x be r(h). Let i = 58 + x. Solve i*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2557*w - 2589*w - 1120 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1021103130002 + 0?\nAnswer: 1021103130002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t - 4. Let f(g) = 534*g + 6. Give -f(r) - m(r).\nAnswer: -535*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432)*-1)\/(sqrt(196)*-5).\nAnswer: 6*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 40561?\nAnswer: -40555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 0*v = -v + 80, -v = -2*o + 25. Differentiate 6*b**2 + 9*b**2 - 2 - o*b**2 + 5*b**4 wrt b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -5*p - 28. Which is the second biggest value?  (a) 1\/3  (b) 1\/4  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -50*a - 302. Let t be h(-6). Sort 2\/7, t, 0.086 in increasing order.\nAnswer: t, 0.086, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w**3 + 10*w**2 + 10*w - 5. Determine i(-5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5, 2318, -0.5, 0.3, 2\/5, -0.29, 1?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange v**2 - 1 + 3*v**4 + 3*v - 2 - 5*v**4 to h + p*v**4 + t*v + m*v**2 + s*v**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2865294 and 5670.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 15757 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 39, 0.4, -4, -0.5, -113, 0.02?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/(k**(-7)*k))\/(k*(k*k*k**3)\/k))**(-2\/3))**(-2\/87) assuming k is positive.\nAnswer: k**(8\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5)\/(20\/6)*-2. Suppose -4 = -v*t - 37. Let d(w) = -20*w - 6. Let y(u) = -7*u - 2. Let i(x) = t*y(x) + 4*d(x). Differentiate i(p) wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 - -8) + 51\/(-6)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.44759 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 + -0.2. Let v = 12002 - 11999. Which is the third smallest value?  (a) 2\/11  (b) -2\/7  (c) o  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + -100110110?\nAnswer: -100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 599076685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00198189 to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 146426 (base 9) to base 15\nAnswer: 1ba10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -151012, -1201447, -4052628, -9604927, -18758716, -32414367?\nAnswer: -51472252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 15*i - 57. Let u be o(4). Let v(q) be the first derivative of -7 + 4*q**4 - 2*q**5 - 2*q**2 - 2\/3*q**u + 0*q. Let v(m) = 0. Calculate m.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 315 = l, -3*d - l = -286 + 97. Calculate the remainder when 2078 is divided by d.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1111010011 (base 3) to base 14.\nAnswer: a92d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 616 + 162?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -27\/2 or 8156?\nAnswer: 8156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -9*q**3 + 8*q**2 - 7. Let k(y) = -8*y**3 + 7*y**2 - 6. Suppose 3*v - 36 = -18. Let g(p) = v*z(p) - 7*k(p). Determine l so that g(l) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1296*b + 65 - 9 - 55 as i + p*b and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/4, -5, 2, -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:19 AM and 6:31 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -100, 45, 316, 713, 1236?\n\"Answer: 63*j**2 - 44*j - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*(-2 - 23 - 4)*(-2*j - 4*j + 4*j).\nAnswer: 58*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in eighteen fifths of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/4  (b) 0.5  (c) 3  (d) -39  (e) -142  (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 4*x**2 - x + 1. Let n be h(-2). Suppose -3*w - n = 4*l, w = 3*l - 3*w - 17. Calculate the least common multiple of 6 and 85\/35 + (l - 4\/(-7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*k - 8*k + 9 = 0. Let l(s) be the third derivative of s**5\/60 + 3*s**4\/8 + 2*s**3\/3 - s**2. What are the prime factors of l(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 28\/9 and 37\/844.\nAnswer: 7596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18288 divided by 18.\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -514600\/1111 or -462?\nAnswer: -514600\/1111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 2*c + 64. Suppose 6*u = -2*y + u + 64, c = 2*y - 2*u. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(22)\/sqrt(11)*5 - sqrt(2)) + 3*(sqrt(2) + -2*sqrt(2)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -27?  (a) 0.3  (b) 0  (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 888 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -2*v**2\/9 + 190*v\/9 = 0.\nAnswer: 0, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 - 18*t**2 + 62*t - 15. Calculate j(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/(-18))\/((-10)\/15). Let n = 7 + -7. Which is the third smallest value?  (a) w  (b) -2  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16.19 - -1.39. Let h = v + 15. Which is the nearest to 0.1?  (a) -0.4  (b) 5  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -583, 86, -31 in descending order.\nAnswer: 86, -31, -583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -298278.8783552 + 0.2.\nAnswer: -298278.6783552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the second derivative of h**3\/6 - 5*h**2\/2 + 8*h. Find the first derivative of n(q) wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1*2)\/((-1)\/2). Let w = -6 + t. Let i be w - (-16 + (1 - 1)). Calculate the highest common factor of i and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 153 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (-4 - (6 + 0 - 11 - 14))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -32.8 - -30. Let u = -3.2 - d. What is the nearest to -2 in 5\/3, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (21 + 23 - 18) + 15 + -35?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of 0*n**4 + 0 + 0*n**3 - 5*n**2 + 0*n + 1\/390*n**5. Find d, given that r(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*v**3 + 27461*v - 27467*v - 2*v**3 as j + c*v**2 + d*v + l*v**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -94, -428, -1000, -1810?\n\"Answer: -119*p**2 + 23*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112548 is divided by 334?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000009336075 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, 0.04, -2\/15 in ascending order.\nAnswer: -2\/15, 0, 0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 35 = x, 27*x = 3*p + 22*x - 5. Let d be 2\/(-8) + 26\/8. Let z(c) = 4*c - 2. Let o be z(d). What is the highest common divisor of o and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2*v + 0*v = -2*m - 37252, 7*m = 0. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzzzzzzzzzzzjzzzj. Give prob of picking 2 z and 2 j.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/20 of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 + -1 + 0 + 10. Solve y = z + 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g - 59 - 25 + 48 = 0. Solve -p + 2*b = g, 0 = -4*p + 94*b - 90*b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3e88 + 4?\nAnswer: 3e8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*d + 3*d - 4*n = 0, -5*d - 2*n + 6 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -370593*n**3 + 742337*n**3 - 371059*n**3.\nAnswer: 685*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -66902*p**3 - 75242*p wrt p?\nAnswer: -401412*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -462, -1850, -4166, -7410, -11582?\n\"Answer: -464*b**2 + 4*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(3\/5))**11\/(i**(-1\/5))**(-3\/10))**(1\/59) assuming i is positive.\nAnswer: i**(327\/2950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -7 + -66357323?\nAnswer: -66357332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4063, -8223, -12383, -16543, -20703?\nAnswer: -24863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1144.53 - 1145. Put q, -0.3, 4\/5 in descending order.\nAnswer: 4\/5, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 74493 + -23aa?\nAnswer: 72094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -4, 59, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 156 - 125. Let s = -54 + 25. Let z = s + v. What is the remainder when 4 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-10)\/4)\/(((-825)\/22)\/(-75)))\/((-55)\/4).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 + 5*z + 2*z - 4 - 2*z. Determine l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 955*v = -838*v - 72115 - 3237 - 7126 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 418\/(-24) - (-5)\/(-15)*-18 and 121\/210?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of -1\/30*l**6 + 1\/6*l**3 - 1\/30*l**5 + 1\/18*l**4 - 1\/126*l**7 + 1\/6*l**2 + 0 + 2*l. Factor n(r).\nAnswer: -(r - 1)*(r + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 + 2. Let q(k) = 2*k**3 - 23*k**2 + 16*k + 144. Let m be q(10). Factor t*y + 0*y**3 + 4\/11*y**2 - 2\/11*y**m - 2\/11.\nAnswer: -2*(y - 1)**2*(y + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 383661155 and 0.023.\nAnswer: 383661155.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 14. Let y(t) = -8*t**2 - 6*t**2 + 3 - 40*t**3 + 39*t**3 - 12*t + 4*t**2. Is y(h) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and -5.6242?\nAnswer: 2.8121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-78)*(-210)\/35*(-1)\/2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/234, 0.3, -0.2, -1, 4, -8\/3.\nAnswer: -8\/3, -1, -0.2, -1\/234, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-30)\/(-4))\/5*(0 - -44). Let b be ((-2)\/(-4))\/(3\/(-90)). Find the common denominator of 51\/5 and 62\/r + 10\/b.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -945484604, -1890969209, -2836453816, -3781938425, -4727423036?\n\"Answer: -w**2 - 945484602*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -63*z**3 - 9*z**2 + 5*z + 5. What are the prime factors of m(-2)?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82683509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 45 and -0.2513754.\nAnswer: -11.311893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -8*b - 20. Give n(6).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes before 2:09 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6*(-1)\/(-36)*-4. What is the third smallest value in 4, -1, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 + -13 + -2 + 9 + -5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 4982 divide 714947664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 133 - 338. Let v = -140 - f. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 6203?\nAnswer: -24812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 3*q = -83 - 60, 0 = -q + 3. Solve 5*y = 13 - f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 v when three letters picked without replacement from vkktvkktvkvk.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 90*f - 650. What is g(7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -37 times 2.9\nAnswer: -107.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 2583784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 600 = -3*u, 2*u = 3*g - 0*g - 405. Let i = 236 + u. What is the remainder when 131 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1261 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*d**4*j**2 - 8*d**3*j**2 - 2*d**3 + 9*d**2*j - j**2 wrt d.\nAnswer: 48*d*j**2 - 48*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -3*v**2 + 4*v + 3. Let w = -362 + 366. Determine d(w).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-164*(-17)\/3485)\/((-6)\/(-450)*-34)?\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:40 AM and 5:34 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2790 + -1773. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 83.2481161 to two decimal places.\nAnswer: 83.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.611611 millimeters in centimeters?\nAnswer: 0.7611611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9 + (-2 - (3 - 3)). Suppose 3*p - 3*z = 24, -5*z - b = 8. Suppose -k = -p*k - 2200. What is k rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u - 6*u + 3*u)*(-4*u**3 - u**3 + 3*u**3) + u**4 - 4*u**4 + 0*u**4.\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -15  (b) 0.1  (c) -0.4  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 93299.88mg to nanograms.\nAnswer: 93299880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + -101 - (-177 + 137)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 7, 5, 40, 1, -4, -6116 in decreasing order.\nAnswer: 40, 7, 5, 1, -2, -4, -6116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9298794705?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 2*k + 32 = -70, -2*g = -3*k - 57. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/102 - (3 - 36\/17).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 53718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-o**3 + 0*o**3 - 4*o**3)*(-135*o + 3592 - 3592) as b*o**2 + h + r*o + p*o**4 + s*o**3 and give p.\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*-24.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 3 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.1 and 537145201.\nAnswer: 537145201.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: e68 (base 15) to base 5\nAnswer: 100443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1182112 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*o**3 - 2*o + 5*o**3 + 4*o**3)*(-2*o - 11*o + 4*o) to the form i*o**3 + x*o**2 + t*o + k + w*o**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -25*k**3 - 28335*k**2 - 7986051*k + 24213843.\nAnswer: -(k - 3)*(5*k + 2841)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -86 + 122. Calculate the highest common divisor of 7332 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fxf when three letters picked without replacement from {q: 5, x: 1, f: 4}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -260 divided by 4\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - 437978?\nAnswer: -43797b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -2*n**2\/5 - 118*n + 600 = 0?\nAnswer: -300, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -2*h**2. Let s = 607 - 443. Let n(q) = s*q + 845 - 845. Give n(u(f)).\nAnswer: -328*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 2*h**2. Let s(t) = 33*t. Determine s(v(o)).\nAnswer: 66*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*r = -7*r. Let o(y) = -4*y + r*y + 20 - 4*y - 2*y. List the prime factors of o(-4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 323*b - 28*b - 5111 = 26*b for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 59992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**3 - 12*f**2 - 11*f - 26. Let l be v(13). Suppose -2*b = -l*b + 14. Calculate the remainder when (-420)\/b + 0\/2 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 157 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 634048 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14 and 50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 - 313181.\nAnswer: -313182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -98\/5 + 26\/5*m**2 + 14*m + 2\/5*m**3 = 0. Calculate m.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 839, -36, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(300)\/sqrt(4))**2 + 1*(3 + sqrt(3)) + sqrt(3).\nAnswer: 2*sqrt(3) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the third derivative of a**6\/120 + a**5\/12 - a**4\/12 - 5*a**3\/6 - 60*a**2 - 8*a + 3. Suppose 2*b = 3*b - f, 0 = 2*b + 3*f + 25. Determine z(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 166044498 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 831 and 2406853?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 78*g**2 - 216*g + 216*g to the form w*g**2 + p + z*g and give w.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 2*c**2 + 41*c + 85. Calculate n(-19).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -150 + -23425?\nAnswer: -23575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of x**4\/24 - x**3\/3 - 13*x**2. Suppose -6 = -3*r - 9. Let u be (-5 + -1 + 2)*r. Calculate y(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 29*j*u**4 + 21509*j*u**2 + 2110290*j with respect to u.\nAnswer: 116*j*u**3 + 43018*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 34.2 and -1.3789.\nAnswer: 32.8211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the third derivative of -p**5\/30 + 31*p**4\/6 - 961*p**3\/3 - 2*p**2 - 17. Factor u(j).\nAnswer: -2*(j - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 3071879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4221\/14*(-4)\/(-6). Let n(w) = 373*w**3 + w. Let x be n(1). Suppose 3*z - 5*b - 185 - x = 0, 2*b = -z + v. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24 - 22. Suppose 25 = 2*j - 5*b, -7*j + 20 = -h*j - 4*b. Suppose -2*c + 3*c - 659 = j. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (28 - 62) + (-7 - -4 - -8) + -4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/7*(-49)\/(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 498064.172094 + -498063. Let t = 0.172182 - j. Let f = -1 - t. Round f to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*r**3 - 20*r - 7*r**3 - 35*r**2 + 8*r**3 + 4*r**2 + 17*r in the form h*r + p*r**2 + l*r**3 + o and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 68\/14 + -4 + 174\/42. Let b be -1 + (6\/(-10))\/((-1)\/g). Solve b*a - 17 + 7 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*w + 1790 = 826 + 731 + 915 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -154?  (a) 16  (b) -17\/2  (c) 830  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 421081480 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.54 + -10392.\nAnswer: -10393.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 78380353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -86.05 - -494.92?\nAnswer: 408.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -209 + 503. Is 10 a factor of 2\/5 + q\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*y**2 + 3*y**2 + 28*y**2 - 245 + 33*y**2 - 84*y**2 to u*y + o + v*y**2 and give o.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 72 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 324 and 10?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -130202 (base 6) to base 2\nAnswer: -10110111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 16*w + 211. Let l be n(-12). Suppose 3*b + 1 = 10. Suppose 3*f - 2*o = b*o + 46, -o + 52 = 3*f. Which is greater: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*h - 1279 = -1255 + 2028. Solve s = d - 4, -h*d = -50*d - s - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4067 or 5\/798?\nAnswer: -4067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -6  (b) 1\/4  (c) 5  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 4*z + 1)*(0*z - z - 2*z + (3*z - 4*z + 3*z)*(-3 + 2 - 1) + 6*z - 2*z - 2*z + z + 0*z - 5*z - 2*z - 1 + 1) as r*z + y + u*z**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29122707?\nAnswer: 3, 197, 49277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -132 - 63?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 1 + 2 = 0. Let q be -26*(2 + -2 - -1). Let x(j) = -j**2 - 28*j - 52. Let u be x(q). Solve -3*i - p*v - 3 = u, i + 0*v = -2*v - 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 123341269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2273 is divided by 231?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 273*y**6 - 287*y**2.\nAnswer: 32760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -2*(-4*(-2*sqrt(187)*-1)\/(sqrt(44)\/sqrt(4)*6 + sqrt(11)))**2)*-3.\nAnswer: 6675\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 - 59*t + 66*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-1\/12)\/g*(g*g*g**(-2\/13))\/g*g**(-5\/4)\/g**1 assuming g is positive.\nAnswer: g**(-97\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*a*a**6*a*a)**(-36) assuming a is positive.\nAnswer: a**(-396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1466 is divided by 165.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**2 + 19*b + 20. Let k be t(-18). Suppose 0 = 3*c + k - 5. Let f(j) = 6*j. Determine f(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.48 - -0.514. Let v = 0.6016 - -11.3644. Let g = v + y. Put -4, g, -2 in decreasing order.\nAnswer: g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7\/1387 + 1408\/4161. Which is the closest to 1?  (a) 0.2  (b) -31\/5  (c) l  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547993.1 years in decades?\nAnswer: 54799.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -261697 + -616?\nAnswer: -262202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 57.53 and -8.7?\nAnswer: 66.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -244 - -407. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13496d (base 16) to base 15.\nAnswer: -19e7a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(572)\/(sqrt(33)\/sqrt(3)))\/(sqrt(36)\/sqrt(225)) - -6*(sqrt(78)\/sqrt(6) + -2 + (sqrt(156) + sqrt(156) + -2*sqrt(156))\/sqrt(12)).\nAnswer: -12 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 4*r + 656 = 0, 3*n - r - 646 = 7*n. Let o be n\/(-45) - (-4)\/10. Suppose 0 = 2*f - 4*u - o, 3*u + 18 - 5 = 4*f. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4088 and 1168?\nAnswer: 8176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48940174.\nAnswer: 2, 24470087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r and 1 j when four letters picked without replacement from rfrjlrrljlrjj?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/(-21) - 24\/(-14). Suppose p*l = 6*l - 16. Are l and 4 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 + -1 + -5 - -7. Suppose i = m - 2. Suppose i*q + 3*p = 36, 4*q + 10 = 5*p + 82. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*z**2 - z**2 + 0*z**2)*(3 + 10 - 5)*(-2 - z - 2*z + z) as u + v*z**2 + q*z + b*z**3 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 212*(((-13)\/(-247))\/((-144)\/(-228)))\/((-2)\/(-6))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92431391?\nAnswer: 13, 67, 106121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -269.598 - -456480\nAnswer: 456210.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -2*f + 2*v, 12*f + 5*v = 7*f - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2172*d - 2205*d = 264 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3744 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 100 and 6264.\nAnswer: 156600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 5:16 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3580 (base 11) to base 5.\nAnswer: -122221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 71.74179 tonnes in grams?\nAnswer: 71741790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x - 154 = 7*x. What is the remainder when x is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (21 + 7 - 2) + -14\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(13) + -1)*-3)**2 + -2*(sqrt(13) + -1)**2.\nAnswer: -14*sqrt(13) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**4*w)\/(w**(1\/12)*w))**(13\/6)\/((w**(-1\/5))**8)**(-43) assuming w is positive.\nAnswer: w**(-21713\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -0.050108, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/((-10)\/2))\/6\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000863 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 14 + 7)*(l - l + l**2 - 2*l).\nAnswer: -10*l**2 + 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1214103 (base 5) in base 9?\nAnswer: 34526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21310 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 177 - 1067\/6. Put 0.3, d, 18 in decreasing order.\nAnswer: 18, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-55)\/(-130)*236\/(-649).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -117 or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 1:53 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4 - 64\/(-17))*1. Let x = -71\/85 - d. Let p = -21\/2 + 185\/18. Which is the third biggest value?  (a) x  (b) p  (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + -5*((sqrt(1700) - (sqrt(1700) + -3 - sqrt(1700)))*-5 - (sqrt(1700) + (sqrt(1700) - (-4 + sqrt(1700) + 3))))*2)*1)**2.\nAnswer: 198000*sqrt(17) + 6147225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -k + 13. Let s(u) = -358*u - 25 + 91 - u**2 + 338*u. Let a be s(-19). What is the highest common divisor of a and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of u**4\/2 - 2*u**3\/3 + 3*u**2\/2 - 3*u - 2. Let c(w) be the first derivative of k(w). Is c(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5449927304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**4\/6 + 1955*s**3\/6 + 25165*s**2\/2 + 256515*s\/2.\nAnswer: 5*s*(s + 21)**2*(s + 349)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 15 + -28 + 68 + -64\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 4:53 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in seventeen quarters of a microsecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -309 + 81 = -6*w. Calculate the remainder when 109 is divided by w - (-2)\/((-6)\/3).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 984\/(-615)*5\/(-40).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 + 9. Let t = -92 - h. Let g = t - -101. Which is smaller: 7 or g?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 149*y - 2*y**3 - 149*y - 18*y**2.\nAnswer: -2*y**3 - 18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -1 + 5 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00003907587142 to 6 dps.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(4 + sqrt(200)*1*5 + 3) + -5)**2 + -1)*5.\nAnswer: 141000*sqrt(2) + 911040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 88212099 by 88212099.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 4*v = -p - 16, -2*p + 8 = -4*v. Suppose 5*m - 3*m = -5*g + 685, 0 = p*g - m - 561. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32945423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -14250 divided by 2850\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1373518710 to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -230, -2\/13, 2\/87?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -5*d**3 + 11*d**2 + 40*d - 48. What is the hundreds digit of n(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from dcidtey.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*d = -33*d + 105. What is the remainder when 165 is divided by d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 5*i - 15, 5*l - 18 = -0*l + 2*i. Solve 0*h = -l*v + 4*h + 4, 5*v + 15 = -5*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3111312 (base 6) in base 5?\nAnswer: 14234442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by 140.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1542722 + 0.449?\nAnswer: -1542721.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*f - 11*f + 7*f - 5*f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 32*y**2 + 5*y - 30. What are the prime factors of m(4)?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/360 and 5\/1128?\nAnswer: 16920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4194 - 4192. Solve -5*p + 29 = -4*a - 12, 3*p = -x*a + 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19 - (8 + -15 + -6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 11*h - 5*h + 3570 = 0, m - 873 = -5*h. Calculate the greatest common divisor of m and 629.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -49, -203, -487, -919, -1517?\n\"Answer: -3*k**3 - 47*k**2 + 8*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.2252 - 137.2252. Which is the closest to 1\/2?  (a) p  (b) 0.4  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-6)\/4)\/((-12)\/56*1). What is the common denominator of 49\/l*((-2)\/40)\/1 and -41\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 27\/(2 + 1)*-1. Let l = -6 - x. Solve l + 6 = -3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/4 at least as big as -5\/3841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (9\/18)\/(2\/(-6)). Put 11, 1, r in ascending order.\nAnswer: r, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0601209431 * 2.\nAnswer: 0.1202418862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13890, -13882, -13868, -13848, -13822, -13790, -13752?\nAnswer: -13708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1 - 4*h + 4*h + 2*h**3 - 16 wrt h?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 726 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, -37, -59, -83, -109, -137?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7066229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (0 + 1 + 7 + -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1548, -1547, -1546?\nAnswer: -1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 r, 1 c, and 1 i when four letters picked without replacement from {i: 1, n: 1, c: 1, p: 1, h: 2, r: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/90 and 5\/144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddc when three letters picked without replacement from {u: 1, d: 4, c: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j - 3*p + 4 + 12, -5*j + 131 = -2*p. Let g(x) = 2*x + 1. Let r be g(12). What is the greatest common divisor of r and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-12)*u**(-4) assuming u is positive.\nAnswer: u**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 2*h**4 - 8\/7*h**2 + 22\/7 + 34\/7*h**3 + 1\/7*h**5 = 0. Calculate h.\nAnswer: -1, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**2 + 12*t - 36. Let p be y(-15). What is the remainder when 120 is divided by p\/6*1908\/27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4324313587 is divided by 1117.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from {y: 1, r: 1, a: 3, p: 3, s: 2, n: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of -166*n**3\/3 + 188*n**2 + 14*n + 10. Differentiate a(l) with respect to l.\nAnswer: -332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 95683?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74 - 81 = -r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000 - -1101000001?\nAnswer: 1100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-58)\/10 - (261\/(-29) - -5)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.385 - 0.13. Let g = q - 0.355. Which is smaller: 2\/33 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(3\/10)\/d**(-10))**(-18\/5))**(-44\/3))**(-1\/30) assuming d is positive.\nAnswer: d**(-2266\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from immqezmmmb.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: -1649464 divided by -4\nAnswer: 412366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1852 or -1850?\nAnswer: -1850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 26773 at most as big as 32344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i**(2\/25))\/(i**(-2)*i) assuming i is positive.\nAnswer: i**(77\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -64 - -29. Let g = m + 55. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 12. Suppose 2*f + m*l = 68, -2*l - 176 = -4*f + 8. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of x**4\/4 - 2*x**3\/3 - x**2 - 3. Determine q(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1821 and 15.\nAnswer: 9105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 104\/(-39)*(-6)\/4*4. Suppose -d = 3*r - 24, -r + 0*d + p = 3*d. List the prime factors of r\/(28\/16) - -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of q**5\/20 + q**4\/8 - q**3\/3 - 3*q**2\/2 - 3*q. Let o(l) be the first derivative of k(l). Is o(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2.31 and 5808.54318281.\nAnswer: 5810.85318281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -22ea - -c?\nAnswer: -22de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 562 - 560. Let h(f) = -f**3 + 6*f**2 + f - 5. Let s be h(5). Suppose 5*p - s = 0, 2*w + b*p - 1154 = 6*p. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l. Let m be c(-5). Suppose -m*w + 2*w = -6. Suppose -23 + 83 = 3*x. What is the greatest common divisor of w and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*h**2*i*z + 32*h**2*z**2 + 2*h*i**2*z**2 + i*z**2 - 13*z**2 wrt i?\nAnswer: -3*h**2*z + 4*h*i*z**2 + z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/g**(-2\/9))\/g)\/(g**(2\/7)\/g)*g**(-21))\/((g\/(g*(g*g**4)\/g)*g)\/(g*(g*g**1*g)\/g)*g**3*(g*g**2)\/g) assuming g is positive.\nAnswer: g**(-1201\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wrrrwwrswww. Give prob of picking 3 w and 1 r.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 256, 526, 804, 1090?\n\"Answer: 4*n**2 + 258*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -74*y - 35. Is s(-4) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4175 - 8*u**2 + 4173 - 8348.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1.2+-4327\nAnswer: -4328.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 16 + 3. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 - (-158)\/(-14) - 4\/(-14). Let v = 51 + -72. Let s = t - v. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 32*w**2 + 25*w - 50. Let g(h) = -h**2 - h + 2. Let r(k) = 6*d(k) + 150*g(k). Let b(y) = 35*y**2. Give b(r(f)).\nAnswer: 61740*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*u + 63*u**3 - 132 - 73 + 261 - 51*u**3 in the form q*u + w*u**3 + a + o*u**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**2 - 2*b + 17. Let n be m(3). What is the third derivative of 581*f**n - 43*f**3 - 106*f**3 - 852*f**2 wrt f?\nAnswer: -894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 8 = -4*u, -16 = -4*u - 3*t - t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (16\/(-6))\/(38\/(-741)). Calculate the highest common divisor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/196429 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**3 - 74*t**2 + 2235*t + 369. Calculate z(-97).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 47 = z - 3*o, o = 5*z - 226. What is the highest common factor of 60 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3213610?\nAnswer: 2, 5, 97, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + o**2 + 2 - 8*o + 5.\nAnswer: o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 PM and 2:28 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 - 5*h - 1. Let a be b(5). Let o(r) = 9*r**4 + 23*r**3 + 35*r**2 - 4*r. Let s(y) = -y**4 - y**2 - y. Let n(m) = a*o(m) - 5*s(m). Factor n(i).\nAnswer: -i*(i + 3)**2*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 9:10 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3649 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2762463659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times 0.4620736\nAnswer: -0.13862208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 31*j. Let g(s) = 17113*s**2 - s - 1. Give v(g(w)).\nAnswer: 530503*w**2 - 31*w - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 176 and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 656 and 80656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 3 = -1. Solve l - 3*n - 6 = 0, -l - n = f*n + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16)\/(-320)*(-8)\/2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 50 (base 6) to base 15\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 798.2874 months in centuries?\nAnswer: 0.6652395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 6, c: 12}. What is prob of sequence bbc?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-11)\/(-18) + -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.98 - 0.02. Let v = i + -1. Let b = v - -4.6. Put 3, b, 0.2 in decreasing order.\nAnswer: 3, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 28 = -8. What is the remainder when d is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(1088) + -2.\nAnswer: -3 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 44, 5, 29, -5, 2, 24, 6 in decreasing order.\nAnswer: 44, 29, 24, 6, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33125 is divided by 510.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 7 = 1. Let b be 11\/a + (-24)\/16. Suppose b = -u + 7. Solve 2*g + 5 = -5*f + u, 0 = 5*f - g - 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 359*o**2 + 176*o**2 + 0 + 0.\nAnswer: 535*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 4*p - 488 = -8*p, 5*p = 3*k - 315. Let q = -9 + 34. What is the highest common factor of q and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/3)\/(35\/5).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 3 - 23 = -4*n, -3*n - 13 = 5*c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.59299281 rounded to 2 dps?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -2*h**3 - 883456*h**2 + 1766918*h - 883460 = 0.\nAnswer: -441730, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:12 PM and 8:36 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-94)\/(-8) - 7\/(-28). Find the common denominator of (-1)\/(-1) + (-2)\/o*-21 and -5\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 68713 + 8?\nAnswer: 68721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 87 = 417. Calculate the greatest common divisor of 126 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2258*d + 221970 = -913*d for d.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 49.4154 plus 0.182378?\nAnswer: 49.597778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84418 is divided by 28102.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5a9 (base 12) to base 6.\nAnswer: -3533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 395*z = 400*z + 5*k - 10, 6 = -2*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - (-294)\/(-48)) + (-3)\/(-10)*67480\/672.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, j: 2}. What is prob of picking 3 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*-740.\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 and 1100392?\nAnswer: 1100392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1021334.\nAnswer: 2, 127, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-31 + c - 2 - 2*c)*(-1728*c + 880*c + 872*c + 3).\nAnswer: -24*c**2 - 795*c - 99","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 1. Let i(y) = -2*y**3 + 2*y**2 + 15*y + 4. What is -i(d) + 4*k(d)?\nAnswer: 2*d**3 - 2*d**2 - 15*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwhwmwwmfwwwwewww. Give prob of sequence mfww.\nAnswer: 11\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 - (-22 + 5 + -2). Suppose -q = 19 - s. Suppose t = -5*m - 87, 3*m + 2*t + t + 45 = q. Which is smaller: -83\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-90)*-36*(-10)\/(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(190) - sqrt(190) - sqrt(190))*-2)\/(sqrt(10) + sqrt(160)*1 - sqrt(10) - sqrt(10)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*i - 5*y + 17, -15*y + 19*y - 7 = 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2635, 157, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 148465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 14179465115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 67*d + 2292. Does 296 divide i(58)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - (6\/(-3) + 2). Suppose 3*q + 2*m = 20, 14 = 4*m - 2. Solve -u + q = p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0849238081 - 5\nAnswer: -5.0849238081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 436463*o**3 - 5*o**2 - 308*o + 35 wrt o?\nAnswer: 2618778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(33)\/(-4*sqrt(22)\/sqrt(2)) - (sqrt(3) + 0 + 2 + -2*sqrt(48))))**2*-1.\nAnswer: -2251\/16 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -132) + (-64 - -14 - -79) + -37?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -28894*o + 51170 wrt o.\nAnswer: -28894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z - 5*z + z + 5*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the second derivative of c**4\/66 + c**3\/33 - 1190*c**2\/11 - 6315*c. Factor w(j).\nAnswer: 2*(j - 34)*(j + 35)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + 9 - 5. Let m = o + 6. Is m < 11\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 3 + 8*i - 5 + 2. Let m(z) = -z**2. Determine m(c(p)).\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25106 is divided by 10245.\nAnswer: 4616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.0203 + 0.0727. Let b = -1.74591 + 1.8362. Let y = b - a. What is y rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8487465.\nAnswer: 3, 5, 7, 80833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((55200\/9)\/10)\/((-1)\/(-150)). Round s to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1020*l + 3170 + 65704 = 7475*l + 10779 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:32 PM and 1:59 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*v - 5*w, -4*v + 2*w = w - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1971, 1459, 621, -531, -1985, -3729, -5751, -8039?\nAnswer: -10581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yo when two letters picked without replacement from psohdpdopydodddopy?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/7, 0.31, -2\/9, -6, 9, 3, 42\/47?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 176 and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.39 + -0.24. Let h = 0.1 + s. Let d = h - 0.5. What is d rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z. Let q = -3 + -19. Let y(b) = -12*b - 1. Determine q*l(h) + 2*y(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8311649 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 214, -2.8, 23, -0.2, 0.4, 2\/15?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 514, 1029, 1544?\nAnswer: 2059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (11 + 3 - 21) + 0 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 3, 154, 403, 762, 1243, 1858, 2619, 3538?\n\"Answer: 2*p**3 + 37*p**2 + 26*p - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1417 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -177 = 4*s + 5*i, 12*s - 108 = 14*s - 4*i. Which is the third smallest value?  (a) -0.8  (b) s  (c) -4  (d) 4  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1094\/2241 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-16 - -11)*(-2)\/(-15). Put -0.3, f, -0.27 in descending order.\nAnswer: -0.27, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 711 = 1179. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**10*m*m**(-12)\/m)\/(m**10\/(m*m\/m**14)))**(-15))**22 assuming m is positive.\nAnswer: m**7920","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + ((sqrt(108)\/(sqrt(672)\/sqrt(7)))\/(4*sqrt(144))*1)**2)*3.\nAnswer: 12291\/2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 54004, 204939, 456498, 808681, 1261488, 1814919?\nAnswer: 2468974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1688, 3350, 5012, 6674, 8336?\n\"Answer: 1662*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3056.062 plus 0.1?\nAnswer: -3055.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a**2 - 42*a - 268. Let m be s(-16). Is 916 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -3*m**3 - 2*m**2 + 2*m. Suppose 0 = -h - 4*h + 20. Let d = -6 + h. Is p(d) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*d**3 - 3*d**3 + 3*d**3 - 34548655176 - 5*d**3 + 34548655176.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 3 + 0*o + 2*o + 2*o. What are the prime factors of d(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0012585 rounded to 5 decimal places?\nAnswer: 0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 6*b - b. Calculate the remainder when 2*(12 + (-70)\/20) is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9005 (base 13) to base 11\nAnswer: 13950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 8, l: 2, e: 4, d: 1, c: 4}. Give prob of picking 1 r, 2 c, and 1 l.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooooo. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 5*g + 1, 0*d + 3*g - 19 = -d. Suppose d*y - 10*y = -483. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 415 is divided by 105?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4.9  (b) 1\/2  (c) 409  (d) 5\/6  (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 3:03 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -48, -42, -24, 12, 72, 162?\n\"Answer: u**3 - u - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 + -25 - -32) + -19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 332138 is divided by 166052.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kgkkpkpgkgfkggppxkkp. Give prob of picking 1 f, 1 p, and 1 g.\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (24\/20)\/((-2)\/(-5)). Let b be 5*(1920\/25)\/y. Suppose -2*x - b = -4*o, 2*x - 159 = -5*o + 4*x. Calculate the remainder when 58 is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 185325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21062 - 20217. Calculate the highest common divisor of 104 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 318 = 41*s - 213*s + 11959 + 743 for s.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:50 AM and 5:15 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, h: 13}. What is prob of sequence hhh?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4 - 3)*((0 + 1 - 3)*(-4 + g + 4) + 2*g - 6*g - 8*g)*(-2 - 3 + 4).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 282710 is divided by 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -153567 + 0.55?\nAnswer: -153566.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 174, 7, 4.76, -1\/5?\nAnswer: 4.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 77 and 98378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 294274796 by 4.\nAnswer: 73568699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + 2 - 1 - (83 - 86) - (23 - 58)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -96a (base 13) in base 15?\nAnswer: -724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1807203 * 0.08\nAnswer: 144576.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4777.45357 - -0.04643. Round s to the nearest one hundred.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 146.45579 rounded to 0 decimal places?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 215 divided by -1\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1039 + 2039. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -m*q**3 + 2*m + 39058*q**3 - 24112*q**2 wrt q?\nAnswer: -6*m + 234348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*p**2 + p**2 + 4*p**3 - 4*p**3 + p + 3 + 2*p**3 to the form o + l*p**3 + n*p + k*p**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.11 * -454085\nAnswer: 49949.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2 + 16340*p - 48984.\nAnswer: -4*(p - 4082)*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 PM and 9:44 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from {t: 1, p: 1, d: 10, a: 4, l: 3}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = l - 60. Suppose m = -m + l. Suppose 0*v - v = -m. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((117\/9)\/(-91))\/(((-20)\/(-4))\/50).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2866 and 475413689.\nAnswer: 475410823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 753434926 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 0.8. Let w = -0.1 - z. Put -2, w, -0.2 in decreasing order.\nAnswer: -0.2, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*y - 59*y = -15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from deddededeediiiiidiii. What is prob of sequence eded?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f**3 - 30 + 30)*(0 - 14 - 1 + (2 + 2 - 6)*(2 - 4 + 3) - 7 + 2 + 3).\nAnswer: 57*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*u - 26*u - 2 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 150 and 850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10*f**5\/19 + 32*f**4\/19 + 36*f**3\/19 + 16*f**2\/19 + 2*f\/19.\nAnswer: 2*f*(f + 1)**3*(5*f + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 - w**2 + 141. Let u be z(0). Let b = u - 81. Let s = 11 - -1. What is the greatest common factor of s and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 39, -23\/9, 1\/4, 0 in ascending order.\nAnswer: -23\/9, 0, 0.1, 1\/4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:43 AM and 7:42 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -32*g**2 - 2*g**2 + 36*g**2. Let i(y) = y + 3. Let t be i(-4). Determine k(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 312510000 to the nearest one million.\nAnswer: 313000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 78 divided by 27?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 30*(4\/10)\/1. Let r(f) be the first derivative of 15*f**2\/2 + 12*f + 2. Let n(o) = -o - 1. Let t = -403 - -404. What is t*r(k) + v*n(k)?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -145 + -11?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from siioi. Give prob of sequence iso.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 b, and 2 m when four letters picked without replacement from {b: 4, j: 1, m: 3, e: 6}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/((-16)\/(-4))*(-42)\/7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2907 + 20365\/7. Factor 60\/7*o**2 + 18\/7*o**3 + s + 8*o.\nAnswer: 2*(o + 2)*(3*o + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*c - 30*c - 154*c**2 + 99*c**2 + 226*c**2 + 3*c**3 as n*c**3 + z*c + s + u*c**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1627667, -1627666, -1627663, -1627658, -1627651?\nAnswer: -1627642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxxxxjxxxxxjxjxxxxx. What is prob of sequence jxxj?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6674*f = -6671*f - 57. Let m(t) be the first derivative of t**2\/2 + t + 1. What is the remainder when 32 is divided by m(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 607*s**3 - 6*s + 2*s - 606*s**3 - 2 to i*s + u*s**2 + m + c*s**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -x**3 + 10865*x**2 - 6448000*x + 984544500 = 0?\nAnswer: 310, 10245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-19 - -25) - (0 + 6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.06?  (a) 2  (b) -5  (c) 0.28  (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1716356 and 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -155970, -2, 2 in descending order.\nAnswer: 3, 2, -1, -2, -155970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -52*h**2 - h + 1. Let q be n(5). Let c be 2\/3 + q\/(-6). Let k be 6\/4 + c\/4. Round k to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -95 + 489. What are the prime factors of b?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 147*h**4\/5 + 903*h**3\/5 + 909*h**2\/5 - 1323*h\/5 + 324\/5 = 0. Calculate h.\nAnswer: -4, -3, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 770*c + 2*c**2 + 6 - 9 - c**2.\nAnswer: c**2 + 770*c - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -3*t**2. Let x(a) be the first derivative of -13\/6*a**3 - 32*a - 11 + 0*a**2. Let i(m) be the first derivative of x(m). What is s(i(z))?\nAnswer: -507*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 4*m - 2*m = 0, -4*m = 4*y + 8. Let v be -4 + y + (7 - -3). Suppose v*k - k = 90800. Round k to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -87, -182, -277, -372, -467, -562?\n\"Answer: -95*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -646 in -201, -0.3, 0.5?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 6*t**2. Let w(i) = -282653*i. Determine k(w(r)).\nAnswer: 479356310454*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -p - 9*p. Suppose 4*w = p, -q - 2 = -5*q - 2*w. Is q greater than or equal to -2\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 23, 3, -2.4?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 70119 and 294?\nAnswer: 140238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 3920.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 777057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 20*o**5\/3 - 172*o**4\/3 + 184*o**3\/3 + 568*o**2\/3 - 68*o - 132 = 0. Calculate o.\nAnswer: -1, 1, 3, 33\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 39, 4, 28, -4, -3 in decreasing order.\nAnswer: 39, 28, 4, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 232655641?\nAnswer: 232655641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 10 = 0, -2*g = 2*g + w - 41. Suppose -g*p - 4 = 104. Is 0.1 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 341846 + 0.8?\nAnswer: 341846.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 10440019054 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**2\/3 - 25*u\/3 - 26\/3.\nAnswer: (u - 26)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1125 = -229*l + 220*l. What is the derivative of 74*w + l*w + 38*w - 47*w - 146 + 48*w wrt w?\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-7) - (-6)\/(-21). Let f = 5.9 + -6.9. What is the third smallest value in b, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40910800.\nAnswer: 2, 5, 7, 19, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 21*h - 23*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 507408 is divided by 157?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2819842001.\nAnswer: 4663, 604727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**2 - 34352*c + 4823749. Determine u(141).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 + 53*g + 156. Give x(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the third derivative of 0 + 4*s**2 + 1\/2*s**3 - 1\/24*s**4 + 0*s. Let b(m) = 2*m - 5. Calculate 3*b(a) + 5*p(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + 197. Calculate the highest common factor of 264 and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 983?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, 2, 0.3, -10, 5\/9, 10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 123 - 18. What is the greatest common divisor of o and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (1 - 7 - (69 - 67)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(1\/((-1)\/1)). Suppose -2*x + q = -3*k, -3*x + 9 = 4*k - k. Factor h**x - 4*h - 3*h**2 + 6*h.\nAnswer: -2*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9206678?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -373 or -1872\/5?\nAnswer: -1872\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 93.81753 litres in millilitres?\nAnswer: 93817.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 - 10310202013?\nAnswer: -10310202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2 - 4. Let h be n(3). Suppose 9*m - 30 = 16 - 19. Solve -9 = -m*o - h*q - 4, 3*o - 17 = q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8*((-40)\/(-64))\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 38.24 - 38. Let d = r + -0.64. Which is the biggest value?  (a) -2\/3  (b) -2  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 + 4. Is s smaller than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddgd when four letters picked without replacement from {g: 6, d: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*p + 52 = 2*a + 132, -2*p + 11*a = -69 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oklooooeeoleeew. Give prob of sequence lwo.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0 - -2 - 3 - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 67121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vccvpvsvsvv. What is prob of picking 2 s and 1 p?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1295 + -1293. Let n(b) = 3*b**3 - 3*b**2 + 2*b - 3. Let y be n(2). Let u = y - 9. Solve -u*s = -j + 21, i*j + 5 = 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2600625 divided by 15.\nAnswer: -173375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 396 divided by -3\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 16 = 2*k - 0, 3*i = -3*k - 3. Let c = -5 + 54. Let h = c + -49. What is the closest to h in k, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 805 = 22*x + 1267 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-21 + 23)\/((-1)\/3*2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*k - 122 = 28. Solve -4*o - b = 5, -k*o + 5*b - 9*b - 20 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 30998 or 31028?\nAnswer: 30998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 2*t + 3 = 5*j, 4*t - j = 13. What is the third derivative of -2*f**4 + f**t + 2*f**2 + 0*f**2 + f**2 wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2072 - 2072. Let b(k) be the first derivative of -38 + 3\/10*k**2 + y*k + 2\/5*k**3 + 3\/20*k**4. Factor b(l).\nAnswer: 3*l*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1600, 7935, 14268, 20605, 26952, 33315?\n\"Answer: l**3 - 7*l**2 + 6349*l - 4743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1)\/(-2))\/(20\/(-220)) + 4\/(-8). Sort -1, -20, c, 4 in decreasing order.\nAnswer: 4, -1, c, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 5*k - z - 5 = 0, -3*z + 7 = -4*k. Suppose -k*r = -5*r + 18. Let q be (-4)\/(-6) - (-8)\/r. Solve -b = -q*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**3 - 152*y**2 + 866*y + 1503. Calculate m(146).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -461, -115, -2 in ascending order.\nAnswer: -461, -115, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1091346572 to the power of 1\/2, to the nearest integer?\nAnswer: 33036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(8)\/sqrt(4) + 3)**2.\nAnswer: -4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the second derivative of f**7\/840 + f**6\/60 + f**5\/20 - f**3\/6 + f. Let a(o) be the second derivative of n(o). Is 5 a factor of a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 times -0.04?\nAnswer: -7.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 15635\/10 + (4\/(-18) - 65\/(-90))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68349*w**2 + 36922*w**2 - 136*w + 31425*w**2.\nAnswer: -2*w**2 - 136*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2400 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the third derivative of -w**6\/120 - w**4\/24 + w**3\/3 - 2*w**2 - 21*w. Suppose 0 + 6 = 3*h. Calculate k(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -5*b + 4*u - 6, -12 = -3*b + 3*u. Let y = 13 - b. Suppose -y = -f + 3. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 2*f**2 - 3*f + 2. What is the lowest common multiple of o(2) and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111000110100 (base 2) in base 10?\nAnswer: -3636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 1. Suppose 0 = 462*f - 464*f - 30. Let w be -3*5\/f + -4 + 3. Solve -x = -w + j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 2046?\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**3 + 3*d**2 - 5*d - 5. Let z be x(-4). Let w = z - -4. Solve 5 = -h, -w*h = 3*g + 2 + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 1352*p - 335. What is the units digit of o(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -21, -1669, -4, 3, -6, 0 in descending order.\nAnswer: 3, 0, -2, -4, -6, -21, -1669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 2*k = -5*s + 83, -2*k = 4*s - 58. Let z(w) = 6*w**3 + w**2 - 3*w + 1. Calculate the remainder when z(2) is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 459 = 16*m - 213. Suppose 9*r - 3*r - m = 0. Calculate the smallest common multiple of 23 and r.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -14130*r - 3. What are the prime factors of n(-1)?\nAnswer: 3, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.111 in 3, -0.1, 1.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -26 - -38 - 41.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5\/2*g - 23\/2*g**3 + 31\/2*g**2 + 3\/2*g**4 - 3.\nAnswer: (g - 6)*(g - 1)**2*(3*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/4760 and 187\/840.\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 77874 (base 9) in base 10?\nAnswer: 51745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(385)\/(sqrt(22)\/sqrt(2)) - sqrt(175)\/sqrt(45))\/(sqrt(448)*-2*6 + sqrt(448)).\nAnswer: -sqrt(5)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -1054331?\nAnswer: -2\/1054331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -581*g + 2148*g + 472*g + 1775*g + 755*g - 148*g.\nAnswer: 4421*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, w: 1, o: 1, a: 1, s: 1, p: 2}. What is prob of picking 1 a and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 g when three letters picked without replacement from seeutgeustsktskg.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 + -7. Suppose x - 5 = y*c, 0 = -x + 6*x + c + 23. Are -7\/2 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -114 + 122. Let d(n) = -11*n + 87. Let a be d(z). Put 3, a, -3, -5 in increasing order.\nAnswer: -5, -3, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-36)\/(-10) - (-24)\/(-40). Let h(a) = 11 - a - 3 + 4*a**r + 0*a**2 - 9*a**2 + 8*a. Let j be h(6). Round j to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-109 - -95) + (10 - 8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 5*c + 6 = -10, -4*s + 4*c = -4. Sort 0, s, -3, -2.\nAnswer: -3, -2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 154 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2 + 281*n + 1369. Let l be a(-5). Let t(j) = -j**3 - 11*j**2 - j - 22. Determine t(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 83 divided by -1477.\nAnswer: -83\/1477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 23814\nAnswer: 9525.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 + 10*d - 4. Let p be l(7). Let y = p + 0. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1165391*k**2*q**3 - 794*k**2*q**2 + 4*k**2*q + 2*k*q wrt q?\nAnswer: -6992346*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23 + -18. Suppose c*n - 3*x - 38 - 28 = 0, -52 = -5*n - 4*x. What is the remainder when ((-1)\/(-1) - -10)*2 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 535603223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 15*b**5 + 12515*b**4 - 276925*b**3 + 1089925*b**2 - 1262090*b + 436560 = 0.\nAnswer: -856, 2\/3, 1, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 7 = 9. Suppose 2*m - 3*j = -2, 0*m + 3*j = m + i. Let u = 49 + -37. What is the smallest common multiple of m and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1151*t = 1081*t + 166 + 184 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/202 and (-94)\/10 + (-9)\/(-30)*10.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 21*j + 3. Let x be l(-3). Suppose -11*d + 12*d = -2*t - 201, 5*d + 3*t = -963. Let k = x - d. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*u - 20*u = 3780. Let i = u - 757. Is -29\/17 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l**2 + 2*l - 2. Let d be f(-2). Let t(y) be the third derivative of y**6\/120 + y**2. Calculate the smallest common multiple of t(d) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (54\/30)\/((-1)\/(-5)). Calculate the remainder when 41 is divided by 99\/(-6)*(-6)\/f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(((2*sqrt(275) + sqrt(275) + sqrt(275) - sqrt(275)) + -3 + sqrt(275) - 1*-2*sqrt(275)) + 2))**2.\nAnswer: -1500*sqrt(11) + 247525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 + 21. Let g(f) = f**2 - f - 21. Calculate the remainder when g(-9) is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 4*n + 36, 0*n + 4*n + 40 = 5*o. Let w be 114\/8 - (-1)\/(-4). Solve 2*c - o + w = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 4*d = -13, 2*w + d + 2*d = 18. Suppose -5*n - 1508 = 712. Let y = 447 + n. Solve y*b - w*f = -15, 0*f - 5*f + 19 = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 68*q**2 - 4716*q + 4616. Let s(n) = -13*n**2 + 943*n - 924. Let g(l) = -16*s(l) - 3*z(l). Determine t so that g(t) = 0.\nAnswer: 1, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1010111 (base 2) to base 3.\nAnswer: -10020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1729 a factor of 4781838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 608 greater than 606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 13 = -3*q, -5*q - j = -0*q - 1. Let y = 316186 + -25611058\/81. Which is smaller: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 10*p + 6*p - 8 = 0, 2*l = 2*p - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 85 + -477?\nAnswer: -3b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 2*r**2 - 7*r - 1. Suppose 0 = -21*f + 26*f + 50. Let b = f + 29. Let n(w) = b + w - 19. What is -m(j) - 6*n(j)?\nAnswer: -2*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1613198.8 times -0.4\nAnswer: -645279.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 1167\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -1.093  (c) -99.6  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z + o - 6, -3*z = 2*z + 2*o - 9. Let h be 2\/4 + z + (-11)\/2. Let a be (-22)\/(-5) - h\/(-10). Solve 2*n + n = 3*d + 15, 0 = -d - a*n - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29885722 is divided by 4384.\nAnswer: 4378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 + -8. Suppose 0*k + 124 = 3*k + 5*n, -g*k + 130 = -n. Let x = k + -7. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64 = 4*i - 3*r + 81, -14 = 4*i - 2*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-3)\/6)\/(3\/(-18)). Let a be (12\/o)\/(-2) - -1. Let p be (0\/(2\/a))\/1. Let h(w) = w - 1. Determine h(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 q when three letters picked without replacement from {k: 6, q: 2, v: 2, z: 4, t: 3}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 216 - 293.5. Let a = 78 + d. Let w = 4 + -4.5. What is the second biggest value in a, 4, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*w - 4*w + 5*o + 9, 2*o - 1 = -3*w. Let m(y) be the first derivative of -w + 0*y - 1\/3*y**3 + 1\/2*y**2. Factor m(a).\nAnswer: -a*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10\/20157 + -3943853\/403140. Let n = -578943\/29390 - 4\/2939. Let d = n - t. What is the common denominator of -32\/15 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8095 + 8099. Solve 0 = -5*y - 3*b - 16, -o*b - 10 - 4 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 5*p**2 + 296*p - 578. What is z(-61)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -f - 12, -2*z + 20 = -3*f. Let j(c) = c**2 - 3*c - 5. Let g be j(z). Let l(r) = -3*r**3 + 1. What are the prime factors of l(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 15111, -3?\nAnswer: 15111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 4 = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 986, 986, 974, 944, 890, 806?\n\"Answer: -k**3 + 7*k + 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5 + 3)*(0 + m**2 + 0) - 6*m**2 - 14 + 14.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 4 + 8 + (-150 - -132) + 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x - 4. Let b be p(-4). Let m = 10 + -15.2. Let i = 5.5 + m. What is the closest to b in 0.4, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 225 + -232 - (-5 + 5) - (30 + -4).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.19 - -0.29. Does 0.2 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 56.8 - 57. Let l be (-3)\/(0 + 66\/(-4)). Which is smaller: n or l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f - 48 + 42 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 - 2*h - 1. Let r be 2 + (-3 - (0 - 3)). Let b be q(r). Suppose f + 32 = b*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 400097.5 rounded to the nearest 1000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -258654.728 + -5.\nAnswer: -258659.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -98693 (base 13) to base 8\nAnswer: -1032457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -491, -493, -495, -497, -499?\n\"Answer: -2*b - 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - (-28)\/9 - -7.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 68*t + 32*t + 56*t + 20*t as h*t + p and give h.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-2) - -2)*(-8 + (-462)\/(-7))?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddmmmlsiliils. What is prob of picking 2 l?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.4, -4\/9, 0.5, -3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - 4*z + 2, 0 = 2*x - 3*z - 35 + 2. Solve x*c = 163 - 187 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 275 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*u - 8, 5*c + 2*u - 12 = 0. Suppose 3*v - 4*a - 44 = 0, -a - c + 2 = 0. What is the remainder when 131 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2983453 and 243.\nAnswer: -2983210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 + 40*y**2 - 16*y - 77. Let i be c(39). Suppose 0 = -g - 0 - 5, -5*g = 5*q + i. Which is greater: q or -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the second derivative of 5249\/2*k**3 + 0 - 12*k**2 - 24*k. Let n be q(-8). Round n to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3880 - -4662. Calculate the greatest common factor of 272 and t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3440348 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*j + 6*j + 110 = 0. Calculate the remainder when j is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, u: 2, a: 1, f: 4, t: 1, q: 1}. Give prob of sequence uuaf.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 3 = -9. Let p(b) = b**3 + 3*b**2 - b + 2. Let j be p(h). What is the highest common factor of j and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46531 to the power of 1\/2, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5562885 days to minutes.\nAnswer: 801.05544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 384405 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + z + 342 = -395, 5*r + 5*z = -910. Let l = r + 188. Which is greater: l or 35\/9?\nAnswer: 35\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 496393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/5 of a decade in years?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 + 8*u - 17. What is w(-5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**5*g\/g**(1\/3)*(g**(-2))**(1\/40))**(15\/7) assuming g is positive.\nAnswer: g**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-35)\/(-84)*(-4)\/(-30)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*u + 25*u + 5*l - 13 = 2, -4*l = -24 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 389340 and 486?\nAnswer: 3504060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the third derivative of 1 + 0*u - 1\/12*u**8 - 7*u**2 + 0*u**4 + 0*u**7 + 0*u**6 + 0*u**3 + 53\/60*u**5. Find the third derivative of f(o) wrt o.\nAnswer: -1680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -j + 10. Let g = 3 + -5. Let f = 0.02 - -2.98. Which is the nearest to g?  (a) j  (b) -3  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 0*x = 115. Let a be 140\/6 + 4\/6. Let m = a - 16. Calculate the remainder when x is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 11*u + 1. Let t(g) = -g**2 - 5*g - 3. Let a be t(-2). Suppose -s - 2*s - 2*l = 5, l = -a*s - 1. List the prime factors of p(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (15 - 3) + (-13 + -2 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 AM and 9:43 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 117\/28 and 79\/238.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}